2 × 32 × 53
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125 and 2250
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.