2002865356800 has 2280 divisors, whose sum is σ = 9439682577600. Its totient is φ = 416179814400.

The previous prime is 2002865356799. The next prime is 2002865356823. The reversal of 2002865356800 is 86535682002.

2002865356800 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 86 + 5 + 3 + 568 + 0 + 0 = 666.

It is a super-2 number, since 2×2002865356800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 182078668795 + ... + 182078668805.

Almost surely, 2^{2002865356800} is an apocalyptic number.

2002865356800 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 2002865356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719841288800).

2002865356800 is an abundant number, since it is smaller than the sum of its proper divisors (7436817220800).

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

2002865356800 is an frugal number, since it uses more digits than its factorization.

2002865356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2002865356800 in words is "two trillion, two billion, eight hundred sixty-five million, three hundred fifty-six thousand, eight hundred".