How can I find out how many 2* champions are there on Marvel Contest of the Champions?
Solution 1:
As of today there are 37 2* champions. There is no way to find out that information in game. The best source so far where people are trying to maintain a fairly updated list would be Wikia.
Marvel Contest of The Champions Wikia
They recently added a row with total number of champions. They do a very good job keeping it up to date.
There is also a very nice open project on github where you can see a map with all the champions and their synergies.
I have requested on Kabam forum to add a filter option to show all available champions.
Kabam forum proposal
Solution 2:
As of December 6, 2018, these are the champs by number:
2* 93
3* 123
4* 126
5* 92
6* 37
Reference http://marvel-contestofchampions.wikia.com/wiki/Tier