2722747403137 has 2 divisors, whose sum is σ = 2722747403138. Its totient is φ = 2722747403136.

The previous prime is 2722747403029. The next prime is 2722747403143. The reversal of 2722747403137 is 7313047472272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2327809312656 + 394938090481 = 1525716^2 + 628441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2722747403137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2722747403437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1361373701568 + 1361373701569.

It is an arithmetic number, because the mean of its divisors is an integer number (1361373701569).

Almost surely, 2^{2722747403137} is an apocalyptic number.

It is an amenable number.

2722747403137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722747403137 is an equidigital number, since it uses as much as digits as its factorization.

2722747403137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2765952, while the sum is 49.

The spelling of 2722747403137 in words is "two trillion, seven hundred twenty-two billion, seven hundred forty-seven million, four hundred three thousand, one hundred thirty-seven".