2724345446513 has 2 divisors, whose sum is σ = 2724345446514. Its totient is φ = 2724345446512.

The previous prime is 2724345446399. The next prime is 2724345446527. The reversal of 2724345446513 is 3156445434272.

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., 2017925368369 + 706420078144 = 1420537^2 + 840488^2 .

It is a cyclic number.

It is not a de Polignac number, because 2724345446513 - 2¹⁰ = 2724345445489 is a prime.

It is a super-2 number, since 2×2724345446513² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2724345446533) 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, 1362172723256 + 1362172723257.

It is an arithmetic number, because the mean of its divisors is an integer number (1362172723257).

Almost surely, 2^{2724345446513} is an apocalyptic number.

It is an amenable number.

2724345446513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2724345446513 is an equidigital number, since it uses as much as digits as its factorization.

2724345446513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9676800, while the sum is 50.

The spelling of 2724345446513 in words is "two trillion, seven hundred twenty-four billion, three hundred forty-five million, four hundred forty-six thousand, five hundred thirteen".