2723342427329 has 2 divisors, whose sum is σ = 2723342427330. Its totient is φ = 2723342427328.

The previous prime is 2723342427199. The next prime is 2723342427331. The reversal of 2723342427329 is 9237242433272.

2723342427329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1450615492225 + 1272726935104 = 1204415^2 + 1128152^2 .

It is a cyclic number.

It is not a de Polignac number, because 2723342427329 - 2³⁶ = 2654622950593 is a prime.

It is a Sophie Germain prime.

Together with 2723342427331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2723342427359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1361671213664 + 1361671213665.

It is an arithmetic number, because the mean of its divisors is an integer number (1361671213665).

Almost surely, 2^{2723342427329} is an apocalyptic number.

It is an amenable number.

2723342427329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2723342427329 is an equidigital number, since it uses as much as digits as its factorization.

2723342427329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6096384, while the sum is 50.

The spelling of 2723342427329 in words is "two trillion, seven hundred twenty-three billion, three hundred forty-two million, four hundred twenty-seven thousand, three hundred twenty-nine".