2 × 32 × 5 × 19
1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855 and 1710
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.