2564224 has 64 divisors (see below), whose sum is σ = 5826240. Its totient is φ = 1115136.

The previous prime is 2564207. The next prime is 2564249. The reversal of 2564224 is 4224652.

It is a tau number, because it is divible by the number of its divisors (64).

2564224 is a modest number, since divided by 4224 gives 256 as remainder.

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, 38239 + ... + 38305.

It is an arithmetic number, because the mean of its divisors is an integer number (91035).

2^2564224 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 2564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913120).

2564224 is an abundant number, since it is smaller than the sum of its proper divisors (3262016).

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

2564224 is a wasteful number, since it uses less digits than its factorization.

2564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 2564224 is about 1601.3194559487. The cubic root of 2564224 is about 136.8732733323.

Adding to 2564224 its reverse (4224652), we get a palindrome (6788876).

The spelling of 2564224 in words is "two million, five hundred sixty-four thousand, two hundred twenty-four".