Pain directly in belly button, hurts a lot to push on. Also pain a little bit out around belly button for over 24 hrs. No constipation, no piercing?

An exam is in order. The only condition that comes to mind is an umbilical hernia or start thereof. That's why I recommend an exam. I've been doctoring for over 35 years and this clearly isn't a common issue so I can only make conjectures but it sounds painful enough to get it looked at. General surgeons are the "experts" in diagnosing and treating umbilical hernias but you could simply start with your pcp.