2688042667 has 2 divisors, whose sum is σ = 2688042668. Its totient is φ = 2688042666.

The previous prime is 2688042661. The next prime is 2688042671. The reversal of 2688042667 is 7662408862.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2688042667 - 2¹⁵ = 2688009899 is a prime.

It is a super-2 number, since 2×2688042667² = 14451146759224945778, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2688042667.

It is not a weakly prime, because it can be changed into another prime (2688042661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1344021333 + 1344021334.

It is an arithmetic number, because the mean of its divisors is an integer number (1344021334).

Almost surely, 2^2688042667 is an apocalyptic number.

2688042667 is a deficient number, since it is larger than the sum of its proper divisors (1).

2688042667 is an equidigital number, since it uses as much as digits as its factorization.

2688042667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1548288, while the sum is 49.

The square root of 2688042667 is about 51846.3370644446. The cubic root of 2688042667 is about 1390.4180146433.

The spelling of 2688042667 in words is "two billion, six hundred eighty-eight million, forty-two thousand, six hundred sixty-seven".