22 × 5 × 7 × 19
1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330 and 2660
No.
Its nearest Fibonacci number neighbors are 2584 and 4181.