2582320 has 60 divisors (see below), whose sum is σ = 6535296. Its totient is φ = 948480.

The previous prime is 2582311. The next prime is 2582323. The reversal of 2582320 is 232852.

2582320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2582291 and 2582300.

It is not an unprimeable number, because it can be changed into a prime (2582323) 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 11 ways as a sum of consecutive naturals, for example, 13425 + ... + 13615.

2^2582320 is an apocalyptic number.

2582320 is a gapful number since it is divisible by the number (20) 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 2582320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267648).

2582320 is an abundant number, since it is smaller than the sum of its proper divisors (3952976).

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

2582320 is a wasteful number, since it uses less digits than its factorization.

2582320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2582320 is about 1606.9598625977. The cubic root of 2582320 is about 137.1944952700.

The spelling of 2582320 in words is "two million, five hundred eighty-two thousand, three hundred twenty".