2542584 has 32 divisors (see below), whose sum is σ = 6935040. Its totient is φ = 770400.

The previous prime is 2542577. The next prime is 2542591. The reversal of 2542584 is 4852452.

It is an interprime number because it is at equal distance from previous prime (2542577) and next prime (2542591).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4552 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (216720).

2^2542584 is an apocalyptic number.

2542584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2542584 is an abundant number, since it is smaller than the sum of its proper divisors (4392456).

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

2542584 is a wasteful number, since it uses less digits than its factorization.

2542584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9647 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 2542584 is about 1594.5482118770. The cubic root of 2542584 is about 136.4871514426.

The spelling of 2542584 in words is "two million, five hundred forty-two thousand, five hundred eighty-four".