2583872 has 28 divisors (see below), whose sum is σ = 5242560. Its totient is φ = 1262976.

The previous prime is 2583863. The next prime is 2583877. The reversal of 2583872 is 2783852.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583877) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2579 + ... + 3437.

2^2583872 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 2583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621280).

2583872 is an abundant number, since it is smaller than the sum of its proper divisors (2658688).

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

2583872 is an equidigital number, since it uses as much as digits as its factorization.

2583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 2583872 is about 1607.4426894916. The cubic root of 2583872 is about 137.2219748509.

The spelling of 2583872 in words is "two million, five hundred eighty-three thousand, eight hundred seventy-two".