2002295918700 has 864 divisors, whose sum is σ = 8151713256960. Its totient is φ = 414155980800.

The previous prime is 2002295918659. The next prime is 2002295918713. The reversal of 2002295918700 is 78195922002.

It is a happy number.

2002295918700 is a `hidden beast` number, since 200 + 2 + 295 + 91 + 8 + 70 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 428479564 + ... + 428484236.

Almost surely, 2^{2002295918700} is an apocalyptic number.

2002295918700 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 2002295918700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075856628480).

2002295918700 is an abundant number, since it is smaller than the sum of its proper divisors (6149417338260).

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

2002295918700 is a wasteful number, since it uses less digits than its factorization.

2002295918700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2002295918700 in words is "two trillion, two billion, two hundred ninety-five million, nine hundred eighteen thousand, seven hundred".