2 × 3 × 52 × 19
1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425 and 2850
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.