This question cannot be answered because it does not need Bluetooth. As far as I understand it, it is a USB-RF technology on 2.4 Hz and a Logitech standard. - Not that other gaming mice would do anything different.
The wireless connection of this mouse is not via Bluetooth, but via 'Lightspeed'. According to Logitech, Lightspeed is a wireless technology with lower latency and higher stability than Bluetooth. As far as I understand it, it is based on a 2.4GHz 802.11 connection with intelligent channel selection to reduce interference.