2261966904641 has 2 divisors, whose sum is σ = 2261966904642. Its totient is φ = 2261966904640.

The previous prime is 2261966904601. The next prime is 2261966904671. The reversal of 2261966904641 is 1464096691622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2060990428225 + 200976476416 = 1435615^2 + 448304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2261966904641 is a prime.

It is not a weakly prime, because it can be changed into another prime (2261966904601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130983452320 + 1130983452321.

It is an arithmetic number, because the mean of its divisors is an integer number (1130983452321).

Almost surely, 2^{2261966904641} is an apocalyptic number.

It is an amenable number.

2261966904641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261966904641 is an equidigital number, since it uses as much as digits as its factorization.

2261966904641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 2261966904641 in words is "two trillion, two hundred sixty-one billion, nine hundred sixty-six million, nine hundred four thousand, six hundred forty-one".