2744117257697 has 2 divisors, whose sum is σ = 2744117257698. Its totient is φ = 2744117257696.

The previous prime is 2744117257663. The next prime is 2744117257727. The reversal of 2744117257697 is 7967527114472.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2742730142161 + 1387115536 = 1656119^2 + 37244^2 .

It is a cyclic number.

It is not a de Polignac number, because 2744117257697 - 2¹⁸ = 2744116995553 is a prime.

It is not a weakly prime, because it can be changed into another prime (2744117287697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1372058628848 + 1372058628849.

It is an arithmetic number, because the mean of its divisors is an integer number (1372058628849).

Almost surely, 2^{2744117257697} is an apocalyptic number.

It is an amenable number.

2744117257697 is a deficient number, since it is larger than the sum of its proper divisors (1).

2744117257697 is an equidigital number, since it uses as much as digits as its factorization.

2744117257697 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41489280, while the sum is 62.

The spelling of 2744117257697 in words is "two trillion, seven hundred forty-four billion, one hundred seventeen million, two hundred fifty-seven thousand, six hundred ninety-seven".