2564291520 has 504 divisors, whose sum is σ = 10655923824. Its totient is φ = 585252864.

The previous prime is 2564291503. The next prime is 2564291539. The reversal of 2564291520 is 251924652.

2564291520 is a `hidden beast` number, since 2 + 5 + 6 + 42 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3809904 + ... + 3810576.

It is an arithmetic number, because the mean of its divisors is an integer number (21142706).

Almost surely, 2^2564291520 is an apocalyptic number.

2564291520 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 2564291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327961912).

2564291520 is an abundant number, since it is smaller than the sum of its proper divisors (8091632304).

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

2564291520 is an equidigital number, since it uses as much as digits as its factorization.

2564291520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2564291520 is about 50638.8341098015. The cubic root of 2564291520 is about 1368.7447468367.

The spelling of 2564291520 in words is "two billion, five hundred sixty-four million, two hundred ninety-one thousand, five hundred twenty".