I am also wondering, as Darren suggested, whether it can't receive Radio 2 because the tuning is a bit out of alignment - so Radio 2 is off the bottom of the scale. Let us know whether the other stations are in the right places on the band or not.
Or are the other stations are in the right places and there is silence where Radio 2 should be? Or is it just that Radio 2 is there but weak? Are Radio 3 and Radio 4 received easily and clearly, or are they a bit problematic too? And how easy are those stations to receive on another portable set?
Sorry for all the questions, but the more clues we have the better able we are to point you in the right direction.