Remainders Are Fun

Number Theory Level pending

Evaluate:

$(1007 \times 1008 \times 1009 \times 1010 \times \cdots \times 2019) \bmod{1010!} \ .$


Notation: $$!$$ is the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

For more problems like this, try answering this set .

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