2768193792 has 504 divisors, whose sum is σ = 10258950464. Its totient is φ = 725594112.

The previous prime is 2768193787. The next prime is 2768193803. The reversal of 2768193792 is 2973918672.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×2768193792³ (a number of 29 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16982703 + ... + 16982865.

Almost surely, 2^2768193792 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 2768193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129475232).

2768193792 is an abundant number, since it is smaller than the sum of its proper divisors (7490756672).

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

2768193792 is an equidigital number, since it uses as much as digits as its factorization.

2768193792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 188 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 2768193792 is about 52613.6274362451. The cubic root of 2768193792 is about 1404.1025566110.

The spelling of 2768193792 in words is "two billion, seven hundred sixty-eight million, one hundred ninety-three thousand, seven hundred ninety-two".