2768485860 has 144 divisors (see below), whose sum is σ = 9614457216. Its totient is φ = 631673856.

The previous prime is 2768485849. The next prime is 2768485883. The reversal of 2768485860 is 685848672.

2768485860 is a `hidden beast` number, since 27 + 68 + 485 + 86 + 0 = 666.

2768485860 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2768485797 and 2768485806.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858972 + ... + 862188.

It is an arithmetic number, because the mean of its divisors is an integer number (66767064).

Almost surely, 2^2768485860 is an apocalyptic number.

2768485860 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 2768485860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807228608).

2768485860 is an abundant number, since it is smaller than the sum of its proper divisors (6845971356).

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

2768485860 is a wasteful number, since it uses less digits than its factorization.

2768485860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3917 counting only the distinct ones).

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

The square root of 2768485860 is about 52616.4029557324. The cubic root of 2768485860 is about 1404.1519364635.

The spelling of 2768485860 in words is "two billion, seven hundred sixty-eight million, four hundred eighty-five thousand, eight hundred sixty".