2 × 32 × 5 × 31
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395 and 2790
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.