2584840 has 16 divisors (see below), whose sum is σ = 5815980. Its totient is φ = 1033920.

The previous prime is 2584819. The next prime is 2584843. The reversal of 2584840 is 484852.

It can be written as a sum of positive squares in 2 ways, for example, as 2172676 + 412164 = 1474^2 + 642^2 .

It is not an unprimeable number, because it can be changed into a prime (2584843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32271 + ... + 32350.

2^2584840 is an apocalyptic number.

2584840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2584840 is an abundant number, since it is smaller than the sum of its proper divisors (3231140).

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

2584840 is a wasteful number, since it uses less digits than its factorization.

2584840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64632 (or 64628 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 2584840 is about 1607.7437606783. The cubic root of 2584840 is about 137.2391086056.

The spelling of 2584840 in words is "two million, five hundred eighty-four thousand, eight hundred forty".