2590315980 has 384 divisors, whose sum is σ = 9282846720. Its totient is φ = 526279680.

The previous prime is 2590315957. The next prime is 2590315991. The reversal of 2590315980 is 895130952.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9152919 + ... + 9153201.

It is an arithmetic number, because the mean of its divisors is an integer number (24174080).

Almost surely, 2^2590315980 is an apocalyptic number.

2590315980 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 2590315980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641423360).

2590315980 is an abundant number, since it is smaller than the sum of its proper divisors (6692530740).

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

2590315980 is a wasteful number, since it uses less digits than its factorization.

2590315980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 2590315980 is about 50895.1469199176. The cubic root of 2590315980 is about 1373.3595387015.

The spelling of 2590315980 in words is "two billion, five hundred ninety million, three hundred fifteen thousand, nine hundred eighty".