2402402400576 has 196 divisors, whose sum is σ = 7184692452532. Its totient is φ = 796648587264.

The previous prime is 2402402400547. The next prime is 2402402400583. The reversal of 2402402400576 is 6750042042042.

2402402400576 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 40 + 2 + 40 + 0 + 576 = 666.

2402402400576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1575466790976 + 826935609600 = 1255176^2 + 909360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2402402400576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8871210 + ... + 9138006.

Almost surely, 2^{2402402400576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402402400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592346226266).

2402402400576 is an abundant number, since it is smaller than the sum of its proper divisors (4782290051956).

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

2402402400576 is an equidigital number, since it uses as much as digits as its factorization.

2402402400576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267020 (or 266995 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 2402402400576 in words is "two trillion, four hundred two billion, four hundred two million, four hundred thousand, five hundred seventy-six".