Five numbers $10,7,5,4$ and $2$ are to be arranged in a sequence from left to right following the directions given below:
- No two odd or even numbers are next to each other.
- The second number from the left is exactly half of the left-most number.
- The middle number is exactly twice the right-most number.
Which is the second number from the right?
- $2$
- $4$
- $7$
- $10$