2768481288 has 256 divisors, whose sum is σ = 8398080000. Its totient is φ = 842849280.

The previous prime is 2768481281. The next prime is 2768481307. The reversal of 2768481288 is 8821848672.

2768481288 is a `hidden beast` number, since 27 + 68 + 481 + 2 + 88 = 666.

It is a super-2 number, since 2×2768481288² = 15328977284012277888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2768481281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10291618 + ... + 10291886.

It is an arithmetic number, because the mean of its divisors is an integer number (32805000).

Almost surely, 2^2768481288 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 2768481288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199040000).

2768481288 is an abundant number, since it is smaller than the sum of its proper divisors (5629598712).

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

2768481288 is a wasteful number, since it uses less digits than its factorization.

2768481288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 2768481288 is about 52616.3595091869. The cubic root of 2768481288 is about 1404.1511635036.

The spelling of 2768481288 in words is "two billion, seven hundred sixty-eight million, four hundred eighty-one thousand, two hundred eighty-eight".