25 × 3 × 31
1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488 and 2976
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.