2093892768 has 480 divisors, whose sum is σ = 7306371072. Its totient is φ = 581644800.

The previous prime is 2093892763. The next prime is 2093892811. The reversal of 2093892768 is 8672983902.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2093892763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20329005 + ... + 20329107.

Almost surely, 2^2093892768 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 2093892768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653185536).

2093892768 is an abundant number, since it is smaller than the sum of its proper divisors (5212478304).

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

2093892768 is a wasteful number, since it uses less digits than its factorization.

2093892768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2093892768 is about 45759.0730675349. The cubic root of 2093892768 is about 1279.3365637461.

The spelling of 2093892768 in words is "two billion, ninety-three million, eight hundred ninety-two thousand, seven hundred sixty-eight".