2582480 has 40 divisors (see below), whose sum is σ = 6324000. Its totient is φ = 978048.

The previous prime is 2582443. The next prime is 2582491. The reversal of 2582480 is 842852.

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

It is a congruent number.

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, 671 + ... + 2369.

It is an arithmetic number, because the mean of its divisors is an integer number (158100).

2^2582480 is an apocalyptic number.

2582480 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 2582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162000).

2582480 is an abundant number, since it is smaller than the sum of its proper divisors (3741520).

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

2582480 is a wasteful number, since it uses less digits than its factorization.

2582480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2582480 is about 1607.0096452729. The cubic root of 2582480 is about 137.1973287254.

The spelling of 2582480 in words is "two million, five hundred eighty-two thousand, four hundred eighty".