2033330100 has 72 divisors (see below), whose sum is σ = 5896372608. Its totient is φ = 540998400.

The previous prime is 2033330093. The next prime is 2033330147. The reversal of 2033330100 is 10333302.

2033330100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2033330100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129685 + ... + 144515.

It is an arithmetic number, because the mean of its divisors is an integer number (81894064).

Almost surely, 2^2033330100 is an apocalyptic number.

2033330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948186304).

2033330100 is an abundant number, since it is smaller than the sum of its proper divisors (3863042508).

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

2033330100 is a wasteful number, since it uses less digits than its factorization.

2033330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 2033330100 is about 45092.4616759830. The cubic root of 2033330100 is about 1266.8814094213.

Adding to 2033330100 its reverse (10333302), we get a palindrome (2043663402).

The spelling of 2033330100 in words is "two billion, thirty-three million, three hundred thirty thousand, one hundred".