Summary

Here are the number of hands in each category:

Straight flush: 40
Quads: 624
Full house hands: 3 744
Flushes: 5 108
Straights: 10 200
Trip hands: 54 912
Two pair hands: 123 552
Pair hands: 1 098 240
No pair hands: 1 302 540

You can find the odds of being dealt any of these hands by dividing the number by 2 598 960