2033882112 has 176 divisors, whose sum is σ = 5641859520. Its totient is φ = 650969088.

The previous prime is 2033882107. The next prime is 2033882167. The reversal of 2033882112 is 2112883302.

It is a self number, because there is not a number n which added to its sum of digits gives 2033882112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11756458 + ... + 11756630.

It is an arithmetic number, because the mean of its divisors is an integer number (32056020).

Almost surely, 2^2033882112 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 2033882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820929760).

2033882112 is an abundant number, since it is smaller than the sum of its proper divisors (3607977408).

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

2033882112 is a wasteful number, since it uses less digits than its factorization.

2033882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2033882112 is about 45098.5821506619. The cubic root of 2033882112 is about 1266.9960441060.

The spelling of 2033882112 in words is "two billion, thirty-three million, eight hundred eighty-two thousand, one hundred twelve".