Maybe a 2336 that someone repaired (replaced the tube?) and somehow transposed the model number when making a faceplate? Most photos of the 2336 show a serial number below the display - might just be a homemade faceplate.
I did wonder if it had a storage tube in it, definitely not the normal tube with a blue filter but more like those that have the phosphors for trace persistence.
Strange it doesn't have the BW on the front panel as most Teks of this vintage do.
I wonder if the OP can give us more pics, one including the handle for another look at model # and a better one of the front panel with better lighting and focus.
Would there be more info on the missing front cover, maybe the OP should revisit the seller to see if the cover is available.