2681865347977 has 2 divisors, whose sum is σ = 2681865347978. Its totient is φ = 2681865347976.

The previous prime is 2681865347969. The next prime is 2681865348049. The reversal of 2681865347977 is 7797435681862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2105679601216 + 576185746761 = 1451096^2 + 759069^2 .

It is a cyclic number.

It is not a de Polignac number, because 2681865347977 - 2³ = 2681865347969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2681865347947) 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, 1340932673988 + 1340932673989.

It is an arithmetic number, because the mean of its divisors is an integer number (1340932673989).

Almost surely, 2^{2681865347977} is an apocalyptic number.

It is an amenable number.

2681865347977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2681865347977 is an equidigital number, since it uses as much as digits as its factorization.

2681865347977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 853493760, while the sum is 73.

The spelling of 2681865347977 in words is "two trillion, six hundred eighty-one billion, eight hundred sixty-five million, three hundred forty-seven thousand, nine hundred seventy-seven".