2590840 has 64 divisors (see below), whose sum is σ = 7027200. Its totient is φ = 839808.

The previous prime is 2590837. The next prime is 2590871. The reversal of 2590840 is 480952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2590799 and 2590808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5077 + ... + 5563.

It is an arithmetic number, because the mean of its divisors is an integer number (109800).

2^2590840 is an apocalyptic number.

2590840 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 2590840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513600).

2590840 is an abundant number, since it is smaller than the sum of its proper divisors (4436360).

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

2590840 is a wasteful number, since it uses less digits than its factorization.

2590840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2590840 is about 1609.6086480881. The cubic root of 2590840 is about 137.3452142506.

The spelling of 2590840 in words is "two million, five hundred ninety thousand, eight hundred forty".