2564507824320 has 112 divisors (see below), whose sum is σ = 8768644103520. Its totient is φ = 631263461376.

The previous prime is 2564507824303. The next prime is 2564507824339. The reversal of 2564507824320 is 234287054652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2564507824320.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 102732225 + ... + 102757184.

It is an arithmetic number, because the mean of its divisors is an integer number (78291465210).

Almost surely, 2^{2564507824320} is an apocalyptic number.

2564507824320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564507824320 is an abundant number, since it is smaller than the sum of its proper divisors (6204136279200).

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

2564507824320 is a wasteful number, since it uses less digits than its factorization.

2564507824320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205489442 (or 205489432 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 2564507824320 in words is "two trillion, five hundred sixty-four billion, five hundred seven million, eight hundred twenty-four thousand, three hundred twenty".