The value of
\[
\left(1-\frac{1}{2^2-1}\right)\left(1-\frac{1}{2^3-1}\right)\left(1-\frac{1}{2^4-1}\right)\dots\left(1-\frac{1}{2^{29}-1}\right)
\]
can be written as \(\frac{m}{n}\), where \(m\) and \(n\) are relatively prime positive integers. Find \(2m - n\).

Let's think step by step and output the final answer within \boxed{}.
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