2590272288 has 54 divisors (see below), whose sum is σ = 7368543819. Its totient is φ = 863136192.

The previous prime is 2590272277. The next prime is 2590272317. The reversal of 2590272288 is 8822720952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1295136144 + 1295136144 = 35988^2 + 35988^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35988.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 862213 + ... + 865211.

Almost surely, 2^2590272288 is an apocalyptic number.

It is an amenable number.

2590272288 is an abundant number, since it is smaller than the sum of its proper divisors (4778271531).

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

2590272288 is an frugal number, since it uses more digits than its factorization.

2590272288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2590272288 is about 50894.7176826829. The cubic root of 2590272288 is about 1373.3518169714.

The spelling of 2590272288 in words is "two billion, five hundred ninety million, two hundred seventy-two thousand, two hundred eighty-eight".