2722742757673 has 2 divisors, whose sum is σ = 2722742757674. Its totient is φ = 2722742757672.

The previous prime is 2722742757659. The next prime is 2722742757703. The reversal of 2722742757673 is 3767572472272.

2722742757673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2599859558464 + 122883199209 = 1612408^2 + 350547^2 .

It is a cyclic number.

It is not a de Polignac number, because 2722742757673 - 2²⁵ = 2722709203241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2722742757643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1361371378836 + 1361371378837.

It is an arithmetic number, because the mean of its divisors is an integer number (1361371378837).

Almost surely, 2^{2722742757673} is an apocalyptic number.

It is an amenable number.

2722742757673 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722742757673 is an equidigital number, since it uses as much as digits as its factorization.

2722742757673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96808320, while the sum is 61.

The spelling of 2722742757673 in words is "two trillion, seven hundred twenty-two billion, seven hundred forty-two million, seven hundred fifty-seven thousand, six hundred seventy-three".