How long has this been going on? How many times has he defecated on a 48 hour schedule? How big is the snake? How big are the rats you are feeding him? How often are you feeding him?
Has he lost weight? If so, how much?

Urination could be more frequent than defication. AND... it is possible that he "pees" on you as a defense mechanism. But what you are describing with defecation doesn't sound normal. The substance sounds ok, but not the frequency. 48 hours is just not long enough for a ball python to completely digest a rat.

One thing that comes to mind is that he may have been blocked (constipated), and now that he can, he's emptying up, which is why I asked about weight loss. Bear in mind though, that a snake can lose a fair amount of weight with a large defecation.

Steve