2768456880 has 300 divisors, whose sum is σ = 11186382240. Its totient is φ = 632717568.

The previous prime is 2768456857. The next prime is 2768456881. The reversal of 2768456880 is 886548672.

2768456880 is a `hidden beast` number, since 2 + 76 + 8 + 4 + 568 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768456881) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 313161 + ... + 321879.

Almost surely, 2^2768456880 is an apocalyptic number.

2768456880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768456880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593191120).

2768456880 is an abundant number, since it is smaller than the sum of its proper divisors (8417925360).

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

2768456880 is a wasteful number, since it uses less digits than its factorization.

2768456880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2768456880 is about 52616.1275656048. The cubic root of 2768456880 is about 1404.1470369785.

The spelling of 2768456880 in words is "two billion, seven hundred sixty-eight million, four hundred fifty-six thousand, eight hundred eighty".