2582960 has 40 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 1018112.

The previous prime is 2582953. The next prime is 2582971. The reversal of 2582960 is 692852.

2582960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 6446 + ... + 6834.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

2^2582960 is an apocalyptic number.

2582960 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 2582960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2582960 is an abundant number, since it is smaller than the sum of its proper divisors (3510400).

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

2582960 is a wasteful number, since it uses less digits than its factorization.

2582960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2582960 is about 1607.1589840461. The cubic root of 2582960 is about 137.2058283896.

The spelling of 2582960 in words is "two million, five hundred eighty-two thousand, nine hundred sixty".