2582640 has 120 divisors (see below), whose sum is σ = 9227088. Its totient is φ = 645120.

The previous prime is 2582627. The next prime is 2582663. The reversal of 2582640 is 462852.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12135 + ... + 12345.

2^2582640 is an apocalyptic number.

2582640 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 2582640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613544).

2582640 is an abundant number, since it is smaller than the sum of its proper divisors (6644448).

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

2582640 is a wasteful number, since it uses less digits than its factorization.

2582640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2582640 is about 1607.0594264059. The cubic root of 2582640 is about 137.2001620638.

The spelling of 2582640 in words is "two million, five hundred eighty-two thousand, six hundred forty".