2 × 32 × 5 × 37
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665 and 3330
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.