2589846 has 48 divisors (see below), whose sum is σ = 6303744. Its totient is φ = 705936.

The previous prime is 2589817. The next prime is 2589859. The reversal of 2589846 is 6489852.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2589798 and 2589807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6571 + ... + 6953.

It is an arithmetic number, because the mean of its divisors is an integer number (131328).

2^2589846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2589846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151872).

2589846 is an abundant number, since it is smaller than the sum of its proper divisors (3713898).

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

2589846 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (2589845) it forms an eRAP, since the sums of their prime factors are consecutive (424 and 425).

2589846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 2589846 is about 1609.2998477599. The cubic root of 2589846 is about 137.3276474118.

The spelling of 2589846 in words is "two million, five hundred eighty-nine thousand, eight hundred forty-six".