2792083668 has 96 divisors (see below), whose sum is σ = 7608384000. Its totient is φ = 787927680.

The previous prime is 2792083661. The next prime is 2792083673. The reversal of 2792083668 is 8663802972.

2792083668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2792083668² = 15591462418224668448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2792083668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792083661) 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, 138538 + ... + 157406.

It is an arithmetic number, because the mean of its divisors is an integer number (79254000).

Almost surely, 2^2792083668 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 2792083668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804192000).

2792083668 is an abundant number, since it is smaller than the sum of its proper divisors (4816300332).

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

2792083668 is a wasteful number, since it uses less digits than its factorization.

2792083668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18965 (or 18963 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 2792083668 is about 52840.1709686863. The cubic root of 2792083668 is about 1408.1301888970.

The spelling of 2792083668 in words is "two billion, seven hundred ninety-two million, eighty-three thousand, six hundred sixty-eight".