2327809312656 has 405 divisors, whose sum is σ = 7212228966579. Its totient is φ = 727656680448.

The previous prime is 2327809312603. The next prime is 2327809312679. The reversal of 2327809312656 is 6562139087232.

The square root of 2327809312656 is 1525716.

It is a perfect power (a square), and thus also a powerful number.

2327809312656 is a `hidden beast` number, since 2 + 3 + 278 + 0 + 9 + 312 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8889472656 + 2318919840000 = 94284^2 + 1522800^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8403643590 + ... + 8403643866.

Almost surely, 2^{2327809312656} is an apocalyptic number.

2327809312656 is the 1525716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2327809312656

2327809312656 is an abundant number, since it is smaller than the sum of its proper divisors (4884419653923).

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

2327809312656 is an frugal number, since it uses more digits than its factorization.

2327809312656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2327809312656 in words is "two trillion, three hundred twenty-seven billion, eight hundred nine million, three hundred twelve thousand, six hundred fifty-six".