2989584 has 60 divisors (see below), whose sum is σ = 9015916. Its totient is φ = 919296.

The previous prime is 2989579. The next prime is 2989619. The reversal of 2989584 is 4859892.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 2471184 = 720^2 + 1572^2 .

It is a super-2 number, since 2×2989584² = 17875224986112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1074 + ... + 2670.

2^2989584 is an apocalyptic number.

2989584 is a gapful number since it is divisible by the number (24) 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 2989584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507958).

2989584 is an abundant number, since it is smaller than the sum of its proper divisors (6026332).

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

2989584 is a wasteful number, since it uses less digits than its factorization.

2989584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1615 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2989584 is about 1729.0413528889. The cubic root of 2989584 is about 144.0578471291.

Adding to 2989584 its product of digits (207360), we get a square (3196944 = 1788²).

Subtracting from 2989584 its product of digits (207360), we obtain a square (2782224 = 1668²).

The spelling of 2989584 in words is "two million, nine hundred eighty-nine thousand, five hundred eighty-four".