Dee finds that she has an extraordinary social security number. Its nine digits contain all the digits from 1 to 9. They also form a number with the following characteristics:
- When read from left to right the first two digits form a number divisible by two.
- The first three digits form a number divisible by three.
- The first four digits a number divisible by four, and so on, until the complete number is divisible by 9.
What is Dee's social security number?