2590312320 has 192 divisors, whose sum is σ = 9017648640. Its totient is φ = 685117440.

The previous prime is 2590312271. The next prime is 2590312331. The reversal of 2590312320 is 232130952.

2590312320 is a `hidden beast` number, since 2 + 590 + 31 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 729750 + ... + 733290.

It is an arithmetic number, because the mean of its divisors is an integer number (46966920).

Almost surely, 2^2590312320 is an apocalyptic number.

2590312320 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 2590312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508824320).

2590312320 is an abundant number, since it is smaller than the sum of its proper divisors (6427336320).

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

2590312320 is a wasteful number, since it uses less digits than its factorization.

2590312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2590312320 is about 50895.1109636279. The cubic root of 2590312320 is about 1373.3588918694.

The spelling of 2590312320 in words is "two billion, five hundred ninety million, three hundred twelve thousand, three hundred twenty".