Accually, original factory specs said 32gb, but, at the time TAB 2 was created there wasn't any such thing as a 64gb to test with the TAB 2 to be sure, and if there was, its likely not to support it, because they probably knew it wasn't going to work directly, instead of a workaround way.
Its been a while since the 64gb microSD been around, and well known among several website postings that its about 100 percent possibly to use them in a TAB 2 tablet.
I'm already found strong evidence of 128gb MicroSD to work in a TAB 3 7.0. I've come across one note that seem to say that it works in a TAB 2, but I have doubts of that statement. I've already came across website that was selling 128gb microSD for 70.00 bucks, and still available last time I checked. There is another website that has a compatability list of devices that the 128gb microSD will work in. ((In some, or most cases of those listed, its quite possible you may need to format it in a format that's normally not used in the larger size microSD card, using a computer to format it, in order for the microSD card to be recognize, such as the 64gb microSD card to work in the Galaxy Tab 2 7.0 (P3100). ))
Ryan
PS - one more added note, I'm well aware of the spec limits of the TAB 2, which is 32gb, which is why I was asking if its "possible" in some sort of way to make it work, such as the case of using a 64gb microSD card. 128gb microSD cards has only been on the market recently.
Here is the weblink to the compatability list I was speaking of, which also list the TAB 3.
http://phandroid.com/2014/02/27/phones-that-work-with-sandisk-128gb-microsdxc-card/