2590920 has 64 divisors (see below), whose sum is σ = 8640000. Its totient is φ = 690624.

The previous prime is 2590909. The next prime is 2590921. The reversal of 2590920 is 290952.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2590921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (135000).

2^2590920 is an apocalyptic number.

2590920 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 2590920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320000).

2590920 is an abundant number, since it is smaller than the sum of its proper divisors (6049080).

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

2590920 is a wasteful number, since it uses less digits than its factorization.

2590920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2590920 is about 1609.6334986574. The cubic root of 2590920 is about 137.3466278853.

Subtracting from 2590920 its reverse (290952), we obtain a cube (2299968 = 132³).

The spelling of 2590920 in words is "two million, five hundred ninety thousand, nine hundred twenty".