2971805196881 has 2 divisors, whose sum is σ = 2971805196882. Its totient is φ = 2971805196880.

The previous prime is 2971805196853. The next prime is 2971805196883. The reversal of 2971805196881 is 1886915081792.

2971805196881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2490134496256 + 481670700625 = 1578016^2 + 694025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2971805196881 is a prime.

It is a super-2 number, since 2×2971805196881² (a number of 26 digits) contains 22 as substring.

Together with 2971805196883, 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 (2971805196883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1485902598440 + 1485902598441.

It is an arithmetic number, because the mean of its divisors is an integer number (1485902598441).

Almost surely, 2^{2971805196881} is an apocalyptic number.

It is an amenable number.

2971805196881 is a deficient number, since it is larger than the sum of its proper divisors (1).

2971805196881 is an equidigital number, since it uses as much as digits as its factorization.

2971805196881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17418240, while the sum is 65.

The spelling of 2971805196881 in words is "two trillion, nine hundred seventy-one billion, eight hundred five million, one hundred ninety-six thousand, eight hundred eighty-one".