2688456349 has 2 divisors, whose sum is σ = 2688456350. Its totient is φ = 2688456348.

The previous prime is 2688456299. The next prime is 2688456377. The reversal of 2688456349 is 9436548862.

2688456349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2334339225 + 354117124 = 48315^2 + 18818^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2688456349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2688456349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2688456389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1344228174 + 1344228175.

It is an arithmetic number, because the mean of its divisors is an integer number (1344228175).

Almost surely, 2^2688456349 is an apocalyptic number.

It is an amenable number.

2688456349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2688456349 is an equidigital number, since it uses as much as digits as its factorization.

2688456349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9953280, while the sum is 55.

The square root of 2688456349 is about 51850.3264117016. The cubic root of 2688456349 is about 1390.4893380896.

The spelling of 2688456349 in words is "two billion, six hundred eighty-eight million, four hundred fifty-six thousand, three hundred forty-nine".