2590809280 has 56 divisors (see below), whose sum is σ = 6178052160. Its totient is φ = 1034864640.

The previous prime is 2590809257. The next prime is 2590809323. The reversal of 2590809280 is 829080952.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238201 + ... + 248839.

It is an arithmetic number, because the mean of its divisors is an integer number (110322360).

Almost surely, 2^2590809280 is an apocalyptic number.

2590809280 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 2590809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089026080).

2590809280 is an abundant number, since it is smaller than the sum of its proper divisors (3587242880).

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

2590809280 is a wasteful number, since it uses less digits than its factorization.

2590809280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11417 (or 11407 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 2590809280 is about 50899.9929273080. The cubic root of 2590809280 is about 1373.4467140711.

The spelling of 2590809280 in words is "two billion, five hundred ninety million, eight hundred nine thousand, two hundred eighty".