2768919840 has 144 divisors (see below), whose sum is σ = 9563194368. Its totient is φ = 729451008.

The previous prime is 2768919823. The next prime is 2768919847. The reversal of 2768919840 is 489198672.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2768919847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107937 + ... + 131103.

It is an arithmetic number, because the mean of its divisors is an integer number (66411072).

Almost surely, 2^2768919840 is an apocalyptic number.

2768919840 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 2768919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781597184).

2768919840 is an abundant number, since it is smaller than the sum of its proper divisors (6794274528).

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

2768919840 is a wasteful number, since it uses less digits than its factorization.

2768919840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23271 (or 23260 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2768919840 is about 52620.5267932582. The cubic root of 2768919840 is about 1404.2253029233.

The spelling of 2768919840 in words is "two billion, seven hundred sixty-eight million, nine hundred nineteen thousand, eight hundred forty".