Carmela has forgotten the password of her safe. However she remembers that:

- The number is a ten digit positive integer using each of the digits from 0 to 9 exactly once.
- The sum of the numbers in the 3rd and 4th positions is equal to the product of the numbers in the 6th and 9th positions.
- The product of the numbers in the 5th and 10th positions is odd.
- The digit in the 2nd position is larger than the digit in the 5th position, which is larger than the digit in the 7th position.
- The digit in the 8th position is larger than the digit in the 6th position, which is larger than the digit in the 2nd position.
- The sum of the digits in the 2nd, 6th, and 9th positions is a perfect square.
- The sum of the digits in the 4th and 9th positions is equal to the digit in the 10th position.
- The sum of the digits in the 1st and 5th positions is equal to the sum of the digits in the 7th and 10th positions.
- The digit in the 9th position is even.

From the above clues, can you help Carmela to crack the password to open the safe?