2722136034593 has 2 divisors, whose sum is σ = 2722136034594. Its totient is φ = 2722136034592.

The previous prime is 2722136034551. The next prime is 2722136034601. The reversal of 2722136034593 is 3954306312272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2686884845584 + 35251189009 = 1639172^2 + 187753^2 .

It is a cyclic number.

It is not a de Polignac number, because 2722136034593 - 2⁸ = 2722136034337 is a prime.

It is not a weakly prime, because it can be changed into another prime (2722136034503) 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, 1361068017296 + 1361068017297.

It is an arithmetic number, because the mean of its divisors is an integer number (1361068017297).

Almost surely, 2^{2722136034593} is an apocalyptic number.

It is an amenable number.

2722136034593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2722136034593 is an equidigital number, since it uses as much as digits as its factorization.

2722136034593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 47.

The spelling of 2722136034593 in words is "two trillion, seven hundred twenty-two billion, one hundred thirty-six million, thirty-four thousand, five hundred ninety-three".