I can't give you metrics because I haven't measured them yet, but it definitely charges faster than it drains, so if you have it plugged in you won't take it to zero even under heavy load.
I did notice something strange however, I first tried charging it with the charger of my Note 2 phone (5v, 2A) and it charged until 90%, then got stuck there. Wouldn't go past 90%.
I then used the charger that came with the Note (visually identical to the Note 2 one) and it progressed to 100%. The difference is that the new one is 5.3v/2A. As far as I can see, the thing charges pretty fast even with the huge battery, but I'm already used to waiting a bit because of the Note 2 (3100 or 3200 mAh).