2585264 has 40 divisors (see below), whose sum is σ = 5626128. Its totient is φ = 1140480.

The previous prime is 2585251. The next prime is 2585267. The reversal of 2585264 is 4625852.

2585264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2585264.

It is not an unprimeable number, because it can be changed into a prime (2585267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6314 + ... + 6710.

2^2585264 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 2585264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813064).

2585264 is an abundant number, since it is smaller than the sum of its proper divisors (3040864).

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

2585264 is a wasteful number, since it uses less digits than its factorization.

2585264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 2585264 is about 1607.8756170799. The cubic root of 2585264 is about 137.2466121262.

It can be divided in two parts, 25 and 85264, that multiplied together give a square (2131600 = 1460²).

The spelling of 2585264 in words is "two million, five hundred eighty-five thousand, two hundred sixty-four".