No is the answer
Given: a+b=2310
Let a*b divisible by 2310: a*b=2310*k.
2310 is made up of 5 different primes: 2310=2*3*5*7*11. a*b=2*3*5*7*11*k. If k ≥ 2, then a+b = a*b ≥ 2*2310. It means contradiction and it is not possible to have 2310 ≥ 2310 * 2.