2711732097117 has 16 divisors (see below), whose sum is σ = 3665276204480. Its totient is φ = 1783006100352.

The previous prime is 2711732097103. The next prime is 2711732097131. The reversal of 2711732097117 is 7117902371172.

It is an interprime number because it is at equal distance from previous prime (2711732097103) and next prime (2711732097131).

It is not a de Polignac number, because 2711732097117 - 2¹⁰ = 2711732096093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2711732092117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8540358 + ... + 8852184.

It is an arithmetic number, because the mean of its divisors is an integer number (229079762780).

Almost surely, 2^{2711732097117} is an apocalyptic number.

It is an amenable number.

2711732097117 is a deficient number, since it is larger than the sum of its proper divisors (953544107363).

2711732097117 is a wasteful number, since it uses less digits than its factorization.

2711732097117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351612.

The product of its (nonzero) digits is 259308, while the sum is 48.

The spelling of 2711732097117 in words is "two trillion, seven hundred eleven billion, seven hundred thirty-two million, ninety-seven thousand, one hundred seventeen".