22 × 3 × 5 × 59
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770 and 3540
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.