2768693760 has 240 divisors, whose sum is σ = 10959227136. Its totient is φ = 632807424.

The previous prime is 2768693743. The next prime is 2768693779. The reversal of 2768693760 is 673968672.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2768693697 and 2768693706.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 152697 + ... + 169863.

Almost surely, 2^2768693760 is an apocalyptic number.

2768693760 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 2768693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479613568).

2768693760 is an abundant number, since it is smaller than the sum of its proper divisors (8190533376).

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

2768693760 is a wasteful number, since it uses less digits than its factorization.

2768693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17203 (or 17184 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 2768693760 is about 52618.3785383016. The cubic root of 2768693760 is about 1404.1870839407.

The spelling of 2768693760 in words is "two billion, seven hundred sixty-eight million, six hundred ninety-three thousand, seven hundred sixty".