2564576 has 36 divisors (see below), whose sum is σ = 5824728. Its totient is φ = 1088832.

The previous prime is 2564567. The next prime is 2564579. The reversal of 2564576 is 6754652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564579) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23915 + ... + 24021.

It is an arithmetic number, because the mean of its divisors is an integer number (161798).

2^2564576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912364).

2564576 is an abundant number, since it is smaller than the sum of its proper divisors (3260152).

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

2564576 is an equidigital number, since it uses as much as digits as its factorization.

2564576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 116 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 2564576 is about 1601.4293615392. The cubic root of 2564576 is about 136.8795360701.

Multiplying 2564576 by its product of digits (50400), we get a square (129254630400 = 359520²).

The spelling of 2564576 in words is "two million, five hundred sixty-four thousand, five hundred seventy-six".