2 × 32 × 13 × 17
1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989 and 3978
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.