2133819900 has 108 divisors (see below), whose sum is σ = 6904183104. Its totient is φ = 550656000.

The previous prime is 2133819893. The next prime is 2133819907. The reversal of 2133819900 is 99183312.

It is an interprime number because it is at equal distance from previous prime (2133819893) and next prime (2133819907).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133819907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10341 + ... + 66140.

Almost surely, 2^2133819900 is an apocalyptic number.

2133819900 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 2133819900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452091552).

2133819900 is an abundant number, since it is smaller than the sum of its proper divisors (4770363204).

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

2133819900 is a wasteful number, since it uses less digits than its factorization.

2133819900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76532 (or 76522 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2133819900 is about 46193.2884735434. The cubic root of 2133819900 is about 1287.4170418160.

The spelling of 2133819900 in words is "two billion, one hundred thirty-three million, eight hundred nineteen thousand, nine hundred".