2522316386304 has 624 divisors, whose sum is σ = 9010404049920. Its totient is φ = 668382658560.

The previous prime is 2522316386221. The next prime is 2522316386321. The reversal of 2522316386304 is 4036836132252.

2522316386304 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 3 + 1 + 6 + 3 + 8 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a self number, because there is not a number n which added to its sum of digits gives 2522316386304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100146897 + ... + 100172079.

It is an arithmetic number, because the mean of its divisors is an integer number (14439750080).

Almost surely, 2^{2522316386304} is an apocalyptic number.

2522316386304 is a gapful number since it is divisible by the number (24) 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 2522316386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505202024960).

2522316386304 is an abundant number, since it is smaller than the sum of its proper divisors (6488087663616).

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

2522316386304 is a wasteful number, since it uses less digits than its factorization.

2522316386304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25256 (or 25231 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2522316386304 in words is "two trillion, five hundred twenty-two billion, three hundred sixteen million, three hundred eighty-six thousand, three hundred four".