2741664127217 has 2 divisors, whose sum is σ = 2741664127218. Its totient is φ = 2741664127216.

The previous prime is 2741664127211. The next prime is 2741664127219. The reversal of 2741664127217 is 7127214661472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2365939261921 + 375724865296 = 1538161^2 + 612964^2 .

It is a cyclic number.

It is not a de Polignac number, because 2741664127217 - 2¹⁴ = 2741664110833 is a prime.

Together with 2741664127219, 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 (2741664127211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1370832063608 + 1370832063609.

It is an arithmetic number, because the mean of its divisors is an integer number (1370832063609).

Almost surely, 2^{2741664127217} is an apocalyptic number.

It is an amenable number.

2741664127217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2741664127217 is an equidigital number, since it uses as much as digits as its factorization.

2741664127217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1580544, while the sum is 50.

Adding to 2741664127217 its reverse (7127214661472), we get a palindrome (9868878788689).

The spelling of 2741664127217 in words is "two trillion, seven hundred forty-one billion, six hundred sixty-four million, one hundred twenty-seven thousand, two hundred seventeen".