2564730160 has 80 divisors (see below), whose sum is σ = 6402929472. Its totient is φ = 951910400.

The previous prime is 2564730139. The next prime is 2564730167. The reversal of 2564730160 is 610374652.

It is a happy number.

2564730160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2564730160² = 13155681587227251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2564730167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83280 + ... + 109840.

Almost surely, 2^2564730160 is an apocalyptic number.

2564730160 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 2564730160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201464736).

2564730160 is an abundant number, since it is smaller than the sum of its proper divisors (3838199312).

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

2564730160 is a wasteful number, since it uses less digits than its factorization.

2564730160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26662 (or 26656 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2564730160 is about 50643.1649879823. The cubic root of 2564730160 is about 1368.8227868412.

The spelling of 2564730160 in words is "two billion, five hundred sixty-four million, seven hundred thirty thousand, one hundred sixty".