22 × 5 × 11 × 13
1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 44, 52, 55, 65, 110, 130, 143, 220, 260, 286, 572, 715, 1430 and 2860
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.