2002057020000 has 720 divisors, whose sum is σ = 7742635251120. Its totient is φ = 501401088000.

The previous prime is 2002057019971. The next prime is 2002057020001. The reversal of 2002057020000 is 207502002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2002057020000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002057020001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4287059767 + ... + 4287060233.

It is an arithmetic number, because the mean of its divisors is an integer number (10753660071).

Almost surely, 2^{2002057020000} is an apocalyptic number.

2002057020000 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 2002057020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871317625560).

2002057020000 is an abundant number, since it is smaller than the sum of its proper divisors (5740578231120).

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

2002057020000 is an frugal number, since it uses more digits than its factorization.

2002057020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The spelling of 2002057020000 in words is "two trillion, two billion, fifty-seven million, twenty thousand".