2 × 32 × 5 × 23
1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035 and 2070
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.