2742451766017 has 2 divisors, whose sum is σ = 2742451766018. Its totient is φ = 2742451766016.

The previous prime is 2742451765987. The next prime is 2742451766077. The reversal of 2742451766017 is 7106671542472.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2667721155856 + 74730610161 = 1633316^2 + 273369^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742451766017 - 2¹¹ = 2742451763969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2742451766077) 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, 1371225883008 + 1371225883009.

It is an arithmetic number, because the mean of its divisors is an integer number (1371225883009).

Almost surely, 2^{2742451766017} is an apocalyptic number.

It is an amenable number.

2742451766017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742451766017 is an equidigital number, since it uses as much as digits as its factorization.

2742451766017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 2742451766017 in words is "two trillion, seven hundred forty-two billion, four hundred fifty-one million, seven hundred sixty-six thousand, seventeen".