2002095724800 has 432 divisors, whose sum is σ = 6980548285760. Its totient is φ = 503941201920.

The previous prime is 2002095724793. The next prime is 2002095724831. The reversal of 2002095724800 is 84275902002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101039694 + ... + 101059506.

Almost surely, 2^{2002095724800} is an apocalyptic number.

2002095724800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002095724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490274142880).

2002095724800 is an abundant number, since it is smaller than the sum of its proper divisors (4978452560960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002095724800 is a wasteful number, since it uses less digits than its factorization.

2002095724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20138 (or 20119 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 2002095724800 in words is "two trillion, two billion, ninety-five million, seven hundred twenty-four thousand, eight hundred".