2583852 has 24 divisors (see below), whose sum is σ = 6065136. Its totient is φ = 856128.

The previous prime is 2583839. The next prime is 2583857.

2583852 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (2583857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1818 + ... + 2910.

It is an arithmetic number, because the mean of its divisors is an integer number (252714).

2^2583852 is an apocalyptic number.

It is an amenable number.

2583852 is an abundant number, since it is smaller than the sum of its proper divisors (3481284).

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

2583852 is a wasteful number, since it uses less digits than its factorization.

2583852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1295 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 2583852 is about 1607.4364684180. The cubic root of 2583852 is about 137.2216208026.

Subtracting from 2583852 its product of digits (19200), we obtain a palindrome (2564652).

The spelling of 2583852 in words is "two million, five hundred eighty-three thousand, eight hundred fifty-two".