2117104682767 has 2 divisors, whose sum is σ = 2117104682768. Its totient is φ = 2117104682766.

The previous prime is 2117104682753. The next prime is 2117104682813. The reversal of 2117104682767 is 7672864017112.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2117104682767 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117104682867) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058552341383 + 1058552341384.

It is an arithmetic number, because the mean of its divisors is an integer number (1058552341384).

Almost surely, 2^{2117104682767} is an apocalyptic number.

2117104682767 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117104682767 is an equidigital number, since it uses as much as digits as its factorization.

2117104682767 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1580544, while the sum is 52.

Adding to 2117104682767 its reverse (7672864017112), we get a palindrome (9789968699879).

The spelling of 2117104682767 in words is "two trillion, one hundred seventeen billion, one hundred four million, six hundred eighty-two thousand, seven hundred sixty-seven".