I conducted some test with my 2H warrior and compared it to a Daedric Warhammer. I put both weapons to the Grindstone for maximum damage (I'm around level 35 with smithing 100 and enchanting 70) and equipped it with all kinds of Fortify Two-Handed gear.
The results:
Damage:Daedric Warhammer: 262The Longhammer: 231 Swing time:Daedric Warhammer: 1.3sThe Longhammer: 1.0sDamage per Second:Daedric Warhammer: 201 per secondThe Longhammer: 231 per second
The Longhammer swings about 30% faster then a Daedric Warhammer while initially doing 25% less damage which results in a slightly higher dps for The Longhammer. Later, when all those smithing perks bring the damage to higher - but closer - levels, the damage advantage of the daedric warhammer shrinks even further (to about 13% in my case). And given the fact that The Longhammer can be aquired very early (no prerequisites, but it's pretty well guarded by Falmer and bandits and it's in Foresworn infested country) it should be your best 2H weapon for most of the game.
However, there are several considerations that make the daedric 2H weapons not completely obsolete:
1. The Longhammer is unique. Slap a bad enchantment on it and it will stay for the rest of the game.
2. The Daedric Warhammer has higher burst damage, which is important if you rely one one-hit kills.
3. The Daedric Warhammer looks much much better.
4. Right now it seems like the Daedric Warhammer causes more stagger, which might be a sideeffect of the Longhammers low weight. Not sure, though.
Just for variety's sake you could consider carrying both weapons. For the Longhammer I prefer an enchantment that doesn't loose it's value. My personal favorite is the http://www.uesp.net/wiki/Skyrim:Steel_Battleaxe_of_Fiery_Souls#Steel_Battleaxe_of_Fiery_Souls enchantment, which deals 10 points of fire damage and captures souls. For the daedric warhammer i would consider either extra damage or leech effects.
Those weapons are so great that http://www.uesp.net/wiki/Skyrim:Volendrung is now just another piece of deco in my house.
--- Update---
Some numbers for base weapons (speed in seconds per attack):
_____________________|attack_|base___|base___|flawless_|flawless_|legendary_|legendary_____________________|speed__|damage_|dps____|damage___|dps______|damage____|dps---------------------+-------+-------+-------+---------+---------+----------+---------The Longhammer _____ | 1,0 _ | 21 __ | 21,00 | 28 ____ | 28,00 _ | 31 _____ | 31,00Volendrung _________ | 1,2 _ | 25 __ | 20,83 | 32 ____ | 26,67 _ | 35 _____ | 29,17Daedric Greatsword _ | 1,1 _ | 23 __ | 20,91 | 30 ____ | 27,27 _ | 33 _____ | 30,00Daedric Battleaxe __ | 1,2 _ | 26 __ | 21,67 | 33 ____ | 27,50 _ | 36 _____ | 30,00Daedric Warhammer __ | 1,3 _ | 31 __ | 23,85 | 38 ____ | 29,23 _ | 41 _____ | 31,54Orcish Greatsword __ | 1,1 _ | 18 __ | 16,36 | 25 ____ | 22,73 _ | 28 _____ | 25,45Orcish Battleaxe ___ | 1,2 _ | 25 __ | 20,83 | 32 ____ | 26,67 _ | 35 _____ | 29,17Orcish Warhammer ___ | 1,3 _ | 26 __ | 20,00 | 33 ____ | 25,38 _ | 36 _____ | 27,69Skyforge Greatsword | 1,1 _ | 17 __ | 15,45 | 24 ____ | 21,82 _ | 27 _____ | 24,55Skyforge Battleaxe _ | 1,2 _ | 21 __ | 17,50 | 28 ____ | 23,33 _ | 31 _____ | 25,83Skyforge Warhammer* | 1,3 _ | 23 __ | 17,69 | 30 ____ | 23,08 _ | 33 _____ | 25,38
* I guessed the Skyforge Warhammer base damage because I couldn't find it in the wiki.
-- update: corrected the numbers for my ingame example for the weapons. the longhammer is even better than initially stated.
-- update2: added http://www.uesp.net/wiki/Skyrim:Volendrung, which - despite being made of an orcish warhammer - is the equivalent of an orcish battleaxe. Plus 50 points of stamina leech. Artifacts seem to break every rule, so maybe there are some artifact weapons out that that are way better than their base stats may indicate.