So big, yet so small

Algebra Level 2

\[\large \left(1+\dfrac{1}{\color{red}1}\right)\left(1+\dfrac{1}{\color{red}2} \right)\left(1+\dfrac{1}{\color{red}3}\right)\left(1+\dfrac{1}{\color{red}4}\right)\ldots \left(1+\dfrac{1}{\color{red}{2016}}\right) = \ ?\]

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