2152012200 has 288 divisors, whose sum is σ = 7610896800. Its totient is φ = 501396480.

The previous prime is 2152012199. The next prime is 2152012207. The reversal of 2152012200 is 22102512.

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 2152012200.

It is not an unprimeable number, because it can be changed into a prime (2152012207) 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, 1926042 + ... + 1927158.

It is an arithmetic number, because the mean of its divisors is an integer number (26426725).

Almost surely, 2^2152012200 is an apocalyptic number.

2152012200 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 2152012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805448400).

2152012200 is an abundant number, since it is smaller than the sum of its proper divisors (5458884600).

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

2152012200 is a wasteful number, since it uses less digits than its factorization.

2152012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2152012200 is about 46389.7855136236. The cubic root of 2152012200 is about 1291.0654019242.

Adding to 2152012200 its reverse (22102512), we get a palindrome (2174114712).

The spelling of 2152012200 in words is "two billion, one hundred fifty-two million, twelve thousand, two hundred".