2589 has 4 divisors (see below), whose sum is σ = 3456. Its totient is φ = 1724.

The previous prime is 2579. The next prime is 2591. The reversal of 2589 is 9852.

2589 is nontrivially palindromic in base 14.

2589 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2589 - 2⁵ = 2557 is a prime.

It is an Ulam number.

It is a D-number.

It is an alternating number because its digits alternate between even and odd.

2589 is an undulating number in base 14.

It is a Curzon number.

2589 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2539) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 429 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

2²⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

2589 is a deficient number, since it is larger than the sum of its proper divisors (867).

2589 is an equidigital number, since it uses as much as digits as its factorization.

2589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866.

The product of its digits is 720, while the sum is 24.

The square root of 2589 is about 50.8822169328. The cubic root of 2589 is about 13.7312692617.

The spelling of 2589 in words is "two thousand, five hundred eighty-nine".