2 × 35 × 7
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701 and 3402
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.