There is no serial number on the top plate, which makes it a lot harder to figure out what it originally was. The top plate must have been replaced; and yet, when this is done, they usually engrave the original number with an asterisk after it. It must have been replaced in the field.
I see a diopter lever sticking out in back, on the eyepiece. The II didn't have that. And yet it's not a III or IIIa, or it would have a slow speed dial. And it's not a IIb, or the diopter lever would be under the rewind knob. So it must have been made during the time of the III or IIIa; probably the IIIa, since it has 1/1000 speed. SO I think it's a transitional camera made after the original II, during a time when you could get the newer production but without the slow speeds. That might place it around 1938, since the IIIa was in production then but so also was the II, for example in the range from 308201 to 308300; or 309501 to 309700; or 311001-311200. It could also have been from 1939, when there were some blocks of the II interspersed with blocks of the IIIa, in a similar fashion to those of 1938. The sync dial could have been retrofitted any time from 1951 on, when the IIf appeared.
I guess you could call it a IIa, although I don't think there was such a model, officially.
Edit: Or maybe the serial# is just too faint to show? I don't see one. There must be, OP says it he dates it to 1932.