2261905395889 has 2 divisors, whose sum is σ = 2261905395890. Its totient is φ = 2261905395888.

The previous prime is 2261905395863. The next prime is 2261905395901. The reversal of 2261905395889 is 9885935091622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1397674866289 + 864230529600 = 1182233^2 + 929640^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261905395889 - 2⁹ = 2261905395377 is a prime.

It is not a weakly prime, because it can be changed into another prime (2261905395839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130952697944 + 1130952697945.

It is an arithmetic number, because the mean of its divisors is an integer number (1130952697945).

Almost surely, 2^{2261905395889} is an apocalyptic number.

It is an amenable number.

2261905395889 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261905395889 is an equidigital number, since it uses as much as digits as its factorization.

2261905395889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 83980800, while the sum is 67.

The spelling of 2261905395889 in words is "two trillion, two hundred sixty-one billion, nine hundred five million, three hundred ninety-five thousand, eight hundred eighty-nine".