2589160 has 48 divisors (see below), whose sum is σ = 6781860. Its totient is φ = 887040.

The previous prime is 2589143. The next prime is 2589161. The reversal of 2589160 is 619852.

It can be written as a sum of positive squares in 2 ways, for example, as 2502724 + 86436 = 1582^2 + 294^2 .

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 11 ways as a sum of consecutive naturals, for example, 1300 + ... + 2620.

2^2589160 is an apocalyptic number.

2589160 is a gapful number since it is divisible by the number (20) 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 2589160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390930).

2589160 is an abundant number, since it is smaller than the sum of its proper divisors (4192700).

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

2589160 is a wasteful number, since it uses less digits than its factorization.

2589160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 2589160 is about 1609.0866974778. The cubic root of 2589160 is about 137.3155211972.

The spelling of 2589160 in words is "two million, five hundred eighty-nine thousand, one hundred sixty".