2564513360 has 80 divisors (see below), whose sum is σ = 6084844176. Its totient is φ = 1004949504.

The previous prime is 2564513323. The next prime is 2564513377. The reversal of 2564513360 is 633154652.

2564513360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 913936 + 2563599424 = 956^2 + 50632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2564513360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 915482 + ... + 918278.

Almost surely, 2^2564513360 is an apocalyptic number.

2564513360 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 2564513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042422088).

2564513360 is an abundant number, since it is smaller than the sum of its proper divisors (3520330816).

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

2564513360 is a wasteful number, since it uses less digits than its factorization.

2564513360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 2564513360 is about 50641.0244762090. The cubic root of 2564513360 is about 1368.7842162933.

The spelling of 2564513360 in words is "two billion, five hundred sixty-four million, five hundred thirteen thousand, three hundred sixty".