2589168 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 764928.

The previous prime is 2589161. The next prime is 2589193. The reversal of 2589168 is 8619852.

2589168 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589161) 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, 15421 + ... + 15587.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2589168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2589168 is an abundant number, since it is smaller than the sum of its proper divisors (4910352).

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

2589168 is a wasteful number, since it uses less digits than its factorization.

2589168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 2589168 is about 1609.0891833581. The cubic root of 2589168 is about 137.3156626231.

The spelling of 2589168 in words is "two million, five hundred eighty-nine thousand, one hundred sixty-eight".