2585504 has 24 divisors (see below), whose sum is σ = 5211360. Its totient is φ = 1262016.

The previous prime is 2585491. The next prime is 2585507. The reversal of 2585504 is 4055852.

2585504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585507) 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 3 ways as a sum of consecutive naturals, for example, 437 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (217140).

2^2585504 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 2585504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605680).

2585504 is an abundant number, since it is smaller than the sum of its proper divisors (2625856).

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

2585504 is a wasteful number, since it uses less digits than its factorization.

2585504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 2585504 is about 1607.9502479865. The cubic root of 2585504 is about 137.2508590384.

The spelling of 2585504 in words is "two million, five hundred eighty-five thousand, five hundred four".