$2! + 3! - 6! + 9!$
$= 2 + 2 \times 3 - 2 \times 3 \times 4 \times 5 \times 6 + 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9$
$= 2 \times ( 1 + 3 - 3 \times 4 \times 5 \times 6 + 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9)$
$= 2 \times [4 - 3 \times 4 \times 5 \times 6 \times ( 1 - 7 \times 8 \times 9)]$
$= 2 \times [4 - 360 \times (-503)]$
$= 2 \times [4 - (-181080)]$
$= 2 \times 181084$
$= 362168$