2767134768 has 80 divisors (see below), whose sum is σ = 7579931520. Its totient is φ = 867414528.

The previous prime is 2767134763. The next prime is 2767134833. The reversal of 2767134768 is 8674317672.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2767134768.

It is not an unprimeable number, because it can be changed into a prime (2767134763) 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 in 15 ways as a sum of consecutive naturals, for example, 113871 + ... + 136017.

It is an arithmetic number, because the mean of its divisors is an integer number (94749144).

Almost surely, 2^2767134768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2767134768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789965760).

2767134768 is an abundant number, since it is smaller than the sum of its proper divisors (4812796752).

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

2767134768 is a wasteful number, since it uses less digits than its factorization.

2767134768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22314 (or 22308 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The square root of 2767134768 is about 52603.5623128320. The cubic root of 2767134768 is about 1403.9234785934.

The spelling of 2767134768 in words is "two billion, seven hundred sixty-seven million, one hundred thirty-four thousand, seven hundred sixty-eight".