2982588 has 24 divisors (see below), whose sum is σ = 7953792. Its totient is φ = 852144.

The previous prime is 2982587. The next prime is 2982589. The reversal of 2982588 is 8852892.

2982588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2982587) and next prime (2982589).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17670 + ... + 17837.

It is an arithmetic number, because the mean of its divisors is an integer number (331408).

2^2982588 is an apocalyptic number.

2982588 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2982588 is an abundant number, since it is smaller than the sum of its proper divisors (4971204).

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

2982588 is a wasteful number, since it uses less digits than its factorization.

2982588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35521 (or 35519 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 2982588 is about 1727.0170815600. The cubic root of 2982588 is about 143.9453882418.

It can be divided in two parts, 2982 and 588, that added together give a triangular number (3570 = T₈₄).

The spelling of 2982588 in words is "two million, nine hundred eighty-two thousand, five hundred eighty-eight".