2 × 3 × 5 × 112
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815 and 3630
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.