2768197920 has 192 divisors, whose sum is σ = 9073451520. Its totient is φ = 708784128.

The previous prime is 2768197919. The next prime is 2768197921. The reversal of 2768197920 is 297918672.

2768197920 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 an interprime number because it is at equal distance from previous prime (2768197919) and next prime (2768197921).

It is not an unprimeable number, because it can be changed into a prime (2768197921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402054 + ... + 1404026.

It is an arithmetic number, because the mean of its divisors is an integer number (47257560).

Almost surely, 2^2768197920 is an apocalyptic number.

2768197920 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 2768197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536725760).

2768197920 is an abundant number, since it is smaller than the sum of its proper divisors (6305253600).

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

2768197920 is a wasteful number, since it uses less digits than its factorization.

2768197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 2768197920 is about 52613.6666656108. Note that the first 5 decimals coincide. The cubic root of 2768197920 is about 1404.1032545550.

The spelling of 2768197920 in words is "two billion, seven hundred sixty-eight million, one hundred ninety-seven thousand, nine hundred twenty".