2746105245593 has 2 divisors, whose sum is σ = 2746105245594. Its totient is φ = 2746105245592.

The previous prime is 2746105245581. The next prime is 2746105245607. The reversal of 2746105245593 is 3955425016472.

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., 2744446149769 + 1659095824 = 1656637^2 + 40732^2 .

It is a cyclic number.

It is not a de Polignac number, because 2746105245593 - 2⁶ = 2746105245529 is a prime.

It is not a weakly prime, because it can be changed into another prime (2746105244593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1373052622796 + 1373052622797.

It is an arithmetic number, because the mean of its divisors is an integer number (1373052622797).

Almost surely, 2^{2746105245593} is an apocalyptic number.

It is an amenable number.

2746105245593 is a deficient number, since it is larger than the sum of its proper divisors (1).

2746105245593 is an equidigital number, since it uses as much as digits as its factorization.

2746105245593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072000, while the sum is 53.

The spelling of 2746105245593 in words is "two trillion, seven hundred forty-six billion, one hundred five million, two hundred forty-five thousand, five hundred ninety-three".