2584842 has 32 divisors (see below), whose sum is σ = 5752320. Its totient is φ = 768960.

The previous prime is 2584819. The next prime is 2584843. The reversal of 2584842 is 2484852.

It is a happy number.

It is a super-3 number, since 3×2584842³ = 51811153331825627064, which contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1884 + ... + 2952.

It is an arithmetic number, because the mean of its divisors is an integer number (179760).

2^2584842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2584842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876160).

2584842 is an abundant number, since it is smaller than the sum of its proper divisors (3167478).

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

2584842 is a wasteful number, since it uses less digits than its factorization.

2584842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118.

The product of its digits is 20480, while the sum is 33.

The square root of 2584842 is about 1607.7443826678. The cubic root of 2584842 is about 137.2391440015.

The spelling of 2584842 in words is "two million, five hundred eighty-four thousand, eight hundred forty-two".