2589840 has 160 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 622080.

The previous prime is 2589817. The next prime is 2589859. The reversal of 2589840 is 489852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2589795 and 2589804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23706 + ... + 23814.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

2^2589840 is an apocalyptic number.

2589840 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 2589840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

2589840 is an abundant number, since it is smaller than the sum of its proper divisors (7230960).

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

2589840 is a wasteful number, since it uses less digits than its factorization.

2589840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2589840 is about 1609.2979835941. The cubic root of 2589840 is about 137.3275413609.

The spelling of 2589840 in words is "two million, five hundred eighty-nine thousand, eight hundred forty".