K.L.
My son napped a lot when he was 2 months old, I really can't put a number on it. He would pretty much just nap and eat and then play for a short periods in between. I wouldn't say he was on any kind of schedule at that age and really to hard to try and put them on one at that age. He really enjoyed being in his swing at that age and spent a lot of time napping there. At the time it seemed like he spent a lot of time in it but when I look back on that time it was because he slept a lot and that was where he took his best naps. If you have a swing give that a try, it was my sons’ favorite place to rest. Give it some time and eventually you will be able to work into a schedule but for right now I wouldn't put too much time and energy into it. Hope this helps a little.