You are able to carry a second firearm, one in your inventory (that 's the one on your left shoulder)and one in your hands. If you put out your firearm via hotkey while you are holding the other one, the firearm in your hands will disappear instead ( i don't know what is planned there) of dropping on the ground(i don't try it with any other objects so far).
Same thing goes with climbing/using ladders ,the firearm in your hands will disappear after holster animation and will not be displayed on the ground.
If you log out with a firearm in your hands and log back in you will have your hands free and your second firearm will be displayed in your inventory after the backpack.