Default Android support disk larger than 2 TB?

I have Samsung Galaxy Tab 2 (P5100) with android 4.4.2 (SOKP). It play with no problem 1,5 TB disk but when I plug 3 TB disk nothing happen. Disk is GPT with single NTFS partition. Its in Intenso usb 3.0 3tb case. Does it depend on device or system?
I want buy hdd player to my tv - most devices are based on Android and if they dont support disk larger than 2 TB it makes no sense to buy it.
Phone: Samsung Galaxy SII I9100
ROM: NeatROM v5.5
Kernel: Apolo 4.13 Regular