2563264 has 42 divisors (see below), whose sum is σ = 5607812. Its totient is φ = 1161600.

The previous prime is 2563261. The next prime is 2563291. The reversal of 2563264 is 4623652.

It is a happy number.

It is a d-powerful number, because it can be written as 2⁹ + 5⁵ + 6⁴ + 3¹¹ + 2²¹ + 6⁷ + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (2563261) 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, 7579 + ... + 7909.

2^2563264 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 2563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803906).

2563264 is an abundant number, since it is smaller than the sum of its proper divisors (3044548).

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

2563264 is a wasteful number, since it uses less digits than its factorization.

2563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 344 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 2563264 is about 1601.0196750821. The cubic root of 2563264 is about 136.8561902247.

The spelling of 2563264 in words is "two million, five hundred sixty-three thousand, two hundred sixty-four".