2585232 has 60 divisors (see below), whose sum is σ = 7797244. Its totient is φ = 794880.

The previous prime is 2585179. The next prime is 2585237. The reversal of 2585232 is 2325852.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 1838736 = 864^2 + 1356^2 .

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2585196 and 2585205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182 + ... + 2562.

2^2585232 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 2585232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898622).

2585232 is an abundant number, since it is smaller than the sum of its proper divisors (5212012).

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

2585232 is a wasteful number, since it uses less digits than its factorization.

2585232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1399 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 2585232 is about 1607.8656660306. The cubic root of 2585232 is about 137.2460458514.

The spelling of 2585232 in words is "two million, five hundred eighty-five thousand, two hundred thirty-two".