2402653596800 has 48 divisors (see below), whose sum is σ = 5935305221250. Its totient is φ = 961061437440.

The previous prime is 2402653596751. The next prime is 2402653596809. The reversal of 2402653596800 is 86953562042.

It can be written as a sum of positive squares in 3 ways, for example, as 1187350198336 + 1215303398464 = 1089656^2 + 1102408^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (2402653596809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 375411425 + ... + 375417824.

Almost surely, 2^{2402653596800} is an apocalyptic number.

2402653596800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402653596800 is an abundant number, since it is smaller than the sum of its proper divisors (3532651624450).

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

2402653596800 is an equidigital number, since it uses as much as digits as its factorization.

2402653596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750829273 (or 750829256 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 2402653596800 in words is "two trillion, four hundred two billion, six hundred fifty-three million, five hundred ninety-six thousand, eight hundred".