2 × 32 × 5 × 41
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845 and 3690
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.