2768552971268 has 36 divisors (see below), whose sum is σ = 5788316829120. Its totient is φ = 1134934752336.

The previous prime is 2768552971267. The next prime is 2768552971271. The reversal of 2768552971268 is 8621792558672.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2768552971198 and 2768552971207.

It is not an unprimeable number, because it can be changed into a prime (2768552971267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93441608 + ... + 93471231.

Almost surely, 2^{2768552971268} is an apocalyptic number.

2768552971268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2768552971268 is an abundant number, since it is smaller than the sum of its proper divisors (3019763857852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2768552971268 is a wasteful number, since it uses less digits than its factorization.

2768552971268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186912896 (or 186912871 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 68.

The spelling of 2768552971268 in words is "two trillion, seven hundred sixty-eight billion, five hundred fifty-two million, nine hundred seventy-one thousand, two hundred sixty-eight".