2722073726573 has 2 divisors, whose sum is σ = 2722073726574. Its totient is φ = 2722073726572.

The previous prime is 2722073726531. The next prime is 2722073726609. The reversal of 2722073726573 is 3756273702272.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2008121394724 + 713952331849 = 1417082^2 + 844957^2 .

It is a cyclic number.

It is not a de Polignac number, because 2722073726573 - 2⁶ = 2722073726509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2722073726513) 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, 1361036863286 + 1361036863287.

It is an arithmetic number, because the mean of its divisors is an integer number (1361036863287).

Almost surely, 2^{2722073726573} is an apocalyptic number.

It is an amenable number.

2722073726573 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722073726573 is an equidigital number, since it uses as much as digits as its factorization.

2722073726573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10372320, while the sum is 53.

The spelling of 2722073726573 in words is "two trillion, seven hundred twenty-two billion, seventy-three million, seven hundred twenty-six thousand, five hundred seventy-three".