2722256241017 has 2 divisors, whose sum is σ = 2722256241018. Its totient is φ = 2722256241016.

The previous prime is 2722256240999. The next prime is 2722256241053. The reversal of 2722256241017 is 7101426522272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1891659141376 + 830597099641 = 1375376^2 + 911371^2 .

It is a cyclic number.

It is not a de Polignac number, because 2722256241017 - 2¹⁶ = 2722256175481 is a prime.

It is not a weakly prime, because it can be changed into another prime (2722256241097) 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, 1361128120508 + 1361128120509.

It is an arithmetic number, because the mean of its divisors is an integer number (1361128120509).

Almost surely, 2^{2722256241017} is an apocalyptic number.

It is an amenable number.

2722256241017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722256241017 is an equidigital number, since it uses as much as digits as its factorization.

2722256241017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 2722256241017 in words is "two trillion, seven hundred twenty-two billion, two hundred fifty-six million, two hundred forty-one thousand, seventeen".