Battery bigger than 2400mAh

Afaik there are no such plans (but I might be wrong). I felt as frustrated as you do so I created this solution over here:

Certainly not perfect, but it does the job.

@urs_lesse is right though that the best approach for battery life extension is current drain optimization.
The screen really drags a lot of current (size and power), imho the cpu heats a lot when doing graphic rendering btw, permanent background data uses current too…