2589210 has 48 divisors (see below), whose sum is σ = 7253064. Its totient is φ = 637056.

The previous prime is 2589203. The next prime is 2589217. The reversal of 2589210 is 129852.

It is an interprime number because it is at equal distance from previous prime (2589203) and next prime (2589217).

It can be written as a sum of positive squares in 4 ways, for example, as 2350089 + 239121 = 1533^2 + 489^2 .

It is an Ulam number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64 + ... + 2276.

2^2589210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626532).

2589210 is an abundant number, since it is smaller than the sum of its proper divisors (4663854).

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

2589210 is a wasteful number, since it uses less digits than its factorization.

2589210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2589210 is about 1609.1022341666. The cubic root of 2589210 is about 137.3164051044.

The spelling of 2589210 in words is "two million, five hundred eighty-nine thousand, two hundred ten".