2564558891440 has 640 divisors, whose sum is σ = 8012987136000. Its totient is φ = 756195471360.

The previous prime is 2564558891437. The next prime is 2564558891519. The reversal of 2564558891440 is 441988554652.

2564558891440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 413435379 + ... + 413441581.

It is an arithmetic number, because the mean of its divisors is an integer number (12520292400).

Almost surely, 2^{2564558891440} is an apocalyptic number.

2564558891440 is a gapful number since it is divisible by the number (20) 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 2564558891440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006493568000).

2564558891440 is an abundant number, since it is smaller than the sum of its proper divisors (5448428244560).

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

2564558891440 is a wasteful number, since it uses less digits than its factorization.

2564558891440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 61.

The spelling of 2564558891440 in words is "two trillion, five hundred sixty-four billion, five hundred fifty-eight million, eight hundred ninety-one thousand, four hundred forty".