2582368 has 48 divisors (see below), whose sum is σ = 5552064. Its totient is φ = 1177600.

The previous prime is 2582357. The next prime is 2582369. The reversal of 2582368 is 8632852.

2582368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25518 + ... + 25618.

It is an arithmetic number, because the mean of its divisors is an integer number (115668).

2^2582368 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 2582368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032).

2582368 is an abundant number, since it is smaller than the sum of its proper divisors (2969696).

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

2582368 is a wasteful number, since it uses less digits than its factorization.

2582368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 2582368 is about 1606.9747975622. The cubic root of 2582368 is about 137.1953453189.

The spelling of 2582368 in words is "two million, five hundred eighty-two thousand, three hundred sixty-eight".