Thomastik-Infeld Jazz Flatwound strings - like big, fat, mellow rubber bands (if such a thing exists) with a bit of 'bite' at the treble end - not at all harsh like roundwounds.
I know it's a bit of a 'stock' answer round here, but they'll really nail that tone with an L2000, and then some.
They have a very balanced sound and break-in real nice.
(I use 'em - did you guess

)