2115133200 has 540 divisors, whose sum is σ = 8284358160. Its totient is φ = 498216960.

The previous prime is 2115133177. The next prime is 2115133201. The reversal of 2115133200 is 23315112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2115133201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19767547 + ... + 19767653.

It is an arithmetic number, because the mean of its divisors is an integer number (15341404).

Almost surely, 2^2115133200 is an apocalyptic number.

2115133200 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 2115133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142179080).

2115133200 is an abundant number, since it is smaller than the sum of its proper divisors (6169224960).

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

2115133200 is a wasteful number, since it uses less digits than its factorization.

2115133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2115133200 is about 45990.5772957896. The cubic root of 2115133200 is about 1283.6478785217.

Adding to 2115133200 its reverse (23315112), we get a palindrome (2138448312).

The spelling of 2115133200 in words is "two billion, one hundred fifteen million, one hundred thirty-three thousand, two hundred".