2582304 has 48 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 836352.

The previous prime is 2582257. The next prime is 2582311. The reversal of 2582304 is 4032852.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3189 + ... + 3915.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

2^2582304 is an apocalyptic number.

2582304 is a gapful number since it is divisible by the number (24) 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 2582304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2582304 is an abundant number, since it is smaller than the sum of its proper divisors (4389024).

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

2582304 is a wasteful number, since it uses less digits than its factorization.

2582304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2582304 is about 1606.9548842454. The cubic root of 2582304 is about 137.1942119180.

The spelling of 2582304 in words is "two million, five hundred eighty-two thousand, three hundred four".