2772757504793 has 2 divisors, whose sum is σ = 2772757504794. Its totient is φ = 2772757504792.

The previous prime is 2772757504753. The next prime is 2772757504831. The reversal of 2772757504793 is 3974057572772.

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., 2487695481049 + 285062023744 = 1577243^2 + 533912^2 .

It is a cyclic number.

It is not a de Polignac number, because 2772757504793 - 2²⁶ = 2772690395929 is a prime.

It is not a weakly prime, because it can be changed into another prime (2772757504753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386378752396 + 1386378752397.

It is an arithmetic number, because the mean of its divisors is an integer number (1386378752397).

Almost surely, 2^{2772757504793} is an apocalyptic number.

It is an amenable number.

2772757504793 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772757504793 is an equidigital number, since it uses as much as digits as its factorization.

2772757504793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181515600, while the sum is 65.

The spelling of 2772757504793 in words is "two trillion, seven hundred seventy-two billion, seven hundred fifty-seven million, five hundred four thousand, seven hundred ninety-three".