2722107216737 has 2 divisors, whose sum is σ = 2722107216738. Its totient is φ = 2722107216736.

The previous prime is 2722107216721. The next prime is 2722107216767. The reversal of 2722107216737 is 7376127012272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1944340204816 + 777767011921 = 1394396^2 + 881911^2 .

It is a cyclic number.

It is not a de Polignac number, because 2722107216737 - 2⁴ = 2722107216721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2722107216691 and 2722107216700.

It is not a weakly prime, because it can be changed into another prime (2722107216767) 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, 1361053608368 + 1361053608369.

It is an arithmetic number, because the mean of its divisors is an integer number (1361053608369).

Almost surely, 2^{2722107216737} is an apocalyptic number.

It is an amenable number.

2722107216737 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722107216737 is an equidigital number, since it uses as much as digits as its factorization.

2722107216737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 691488, while the sum is 47.

The spelling of 2722107216737 in words is "two trillion, seven hundred twenty-two billion, one hundred seven million, two hundred sixteen thousand, seven hundred thirty-seven".