2589984 has 108 divisors (see below), whose sum is σ = 8152326. Its totient is φ = 777216.

The previous prime is 2589971. The next prime is 2589991. The reversal of 2589984 is 4899852.

It can be written as a sum of positive squares in only one way, i.e., 1904400 + 685584 = 1380^2 + 828^2 .

Its product of digits (207360) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112597 + ... + 112619.

2^2589984 is an apocalyptic number.

2589984 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 2589984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076163).

2589984 is an abundant number, since it is smaller than the sum of its proper divisors (5562342).

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

2589984 is a wasteful number, since it uses less digits than its factorization.

2589984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

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

The square root of 2589984 is about 1609.3427229773. The cubic root of 2589984 is about 137.3300865373.

It can be divided in two parts, 25 and 89984, that added together give a palindrome (90009).

The spelling of 2589984 in words is "two million, five hundred eighty-nine thousand, nine hundred eighty-four".