2564160 has 56 divisors (see below), whose sum is σ = 8144256. Its totient is φ = 683520.

The previous prime is 2564147. The next prime is 2564171. The reversal of 2564160 is 614652.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2564160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376 + ... + 2295.

2^2564160 is an apocalyptic number.

2564160 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 2564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072128).

2564160 is an abundant number, since it is smaller than the sum of its proper divisors (5580096).

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

2564160 is a wasteful number, since it uses less digits than its factorization.

2564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2564160 is about 1601.2994723037. The cubic root of 2564160 is about 136.8721345911.

The spelling of 2564160 in words is "two million, five hundred sixty-four thousand, one hundred sixty".