2083815936 has 160 divisors (see below), whose sum is σ = 6531814080. Its totient is φ = 653672448.

The previous prime is 2083815931. The next prime is 2083815949. The reversal of 2083815936 is 6395183802.

It is a happy number.

2083815936 is a `hidden beast` number, since 20 + 8 + 38 + 1 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2083815891 and 2083815900.

It is not an unprimeable number, because it can be changed into a prime (2083815931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230575 + ... + 239441.

It is an arithmetic number, because the mean of its divisors is an integer number (40823838).

Almost surely, 2^2083815936 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 2083815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265907040).

2083815936 is an abundant number, since it is smaller than the sum of its proper divisors (4447998144).

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

2083815936 is an equidigital number, since it uses as much as digits as its factorization.

2083815936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8889 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2083815936 is about 45648.8327999742. The cubic root of 2083815936 is about 1277.2809991687.

The spelling of 2083815936 in words is "two billion, eighty-three million, eight hundred fifteen thousand, nine hundred thirty-six".