2 × 32 × 5 × 29
1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305 and 2610
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.