2688437993 has 2 divisors, whose sum is σ = 2688437994. Its totient is φ = 2688437992.

The previous prime is 2688437963. The next prime is 2688438037. The reversal of 2688437993 is 3997348862.

2688437993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2629946089 + 58491904 = 51283^2 + 7648^2 .

It is a cyclic number.

It is not a de Polignac number, because 2688437993 - 2¹⁸ = 2688175849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2688437903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1344218996 + 1344218997.

It is an arithmetic number, because the mean of its divisors is an integer number (1344218997).

Almost surely, 2^2688437993 is an apocalyptic number.

It is an amenable number.

2688437993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2688437993 is an equidigital number, since it uses as much as digits as its factorization.

2688437993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15676416, while the sum is 59.

The square root of 2688437993 is about 51850.1494019063. The cubic root of 2688437993 is about 1390.4861734632.

The spelling of 2688437993 in words is "two billion, six hundred eighty-eight million, four hundred thirty-seven thousand, nine hundred ninety-three".