2564520000 has 560 divisors, whose sum is σ = 10055181312. Its totient is φ = 564480000.

The previous prime is 2564519999. The next prime is 2564520011. The reversal of 2564520000 is 254652.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36119965 + ... + 36120035.

Almost surely, 2^2564520000 is an apocalyptic number.

2564520000 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 2564520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027590656).

2564520000 is an abundant number, since it is smaller than the sum of its proper divisors (7490661312).

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

2564520000 is an equidigital number, since it uses as much as digits as its factorization.

2564520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2564520000 is about 50641.0900356618. The cubic root of 2564520000 is about 1368.7853976376.

Adding to 2564520000 its reverse (254652), we get a palindrome (2564774652).

The spelling of 2564520000 in words is "two billion, five hundred sixty-four million, five hundred twenty thousand".