2723640402653 has 2 divisors, whose sum is σ = 2723640402654. Its totient is φ = 2723640402652.

The previous prime is 2723640402641. The next prime is 2723640402737. The reversal of 2723640402653 is 3562040463272.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1830573822169 + 893066580484 = 1352987^2 + 945022^2 .

It is a cyclic number.

It is not a de Polignac number, because 2723640402653 - 2³⁰ = 2722566660829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2723640402953) 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, 1361820201326 + 1361820201327.

It is an arithmetic number, because the mean of its divisors is an integer number (1361820201327).

Almost surely, 2^{2723640402653} is an apocalyptic number.

It is an amenable number.

2723640402653 is a deficient number, since it is larger than the sum of its proper divisors (1).

2723640402653 is an equidigital number, since it uses as much as digits as its factorization.

2723640402653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 44.

The spelling of 2723640402653 in words is "two trillion, seven hundred twenty-three billion, six hundred forty million, four hundred two thousand, six hundred fifty-three".