2590371689 has 2 divisors, whose sum is σ = 2590371690. Its totient is φ = 2590371688.

The previous prime is 2590371671. The next prime is 2590371691. The reversal of 2590371689 is 9861730952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1977314089 + 613057600 = 44467^2 + 24760^2 .

It is a cyclic number.

It is not a de Polignac number, because 2590371689 - 2²⁸ = 2321936233 is a prime.

Together with 2590371691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2590371989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1295185844 + 1295185845.

It is an arithmetic number, because the mean of its divisors is an integer number (1295185845).

Almost surely, 2^2590371689 is an apocalyptic number.

It is an amenable number.

2590371689 is a deficient number, since it is larger than the sum of its proper divisors (1).

2590371689 is an equidigital number, since it uses as much as digits as its factorization.

2590371689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 2590371689 is about 50895.6942088425. The cubic root of 2590371689 is about 1373.3693840818.

The spelling of 2590371689 in words is "two billion, five hundred ninety million, three hundred seventy-one thousand, six hundred eighty-nine".