2585828 has 36 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 1087632.

The previous prime is 2585827. The next prime is 2585833. The reversal of 2585828 is 8285852.

It is a junction number, because it is equal to n+sod(n) for n = 2585791 and 2585800.

It is not an unprimeable number, because it can be changed into a prime (2585827) 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, 15401 + ... + 15567.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

2^2585828 is an apocalyptic number.

2585828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

2585828 is an abundant number, since it is smaller than the sum of its proper divisors (2776732).

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

2585828 is a wasteful number, since it uses less digits than its factorization.

2585828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its digits is 51200, while the sum is 38.

The square root of 2585828 is about 1608.0509942163. The cubic root of 2585828 is about 137.2565919530.

The spelling of 2585828 in words is "two million, five hundred eighty-five thousand, eight hundred twenty-eight".