2120233200 has 360 divisors, whose sum is σ = 7527674448. Its totient is φ = 507985920.

The previous prime is 2120233187. The next prime is 2120233201. The reversal of 2120233200 is 23320212.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2120233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120233201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40004374 + ... + 40004426.

Almost surely, 2^2120233200 is an apocalyptic number.

2120233200 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 2120233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763837224).

2120233200 is an abundant number, since it is smaller than the sum of its proper divisors (5407441248).

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

2120233200 is a wasteful number, since it uses less digits than its factorization.

2120233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2120233200 is about 46045.9900534238. The cubic root of 2120233200 is about 1284.6787591462.

Adding to 2120233200 its reverse (23320212), we get a palindrome (2143553412).

The spelling of 2120233200 in words is "two billion, one hundred twenty million, two hundred thirty-three thousand, two hundred".