2016115200 has 720 divisors, whose sum is σ = 8271765216. Its totient is φ = 464486400.

The previous prime is 2016115183. The next prime is 2016115217. The reversal of 2016115200 is 25116102.

2016115200 is a `hidden beast` number, since 2 + 0 + 1 + 611 + 52 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2016115183) and next prime (2016115217).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46886379 + ... + 46886421.

Almost surely, 2^2016115200 is an apocalyptic number.

2016115200 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 2016115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135882608).

2016115200 is an abundant number, since it is smaller than the sum of its proper divisors (6255650016).

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

2016115200 is a wasteful number, since it uses less digits than its factorization.

2016115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2016115200 is about 44901.1714769225. The cubic root of 2016115200 is about 1263.2959813952.

The spelling of 2016115200 in words is "two billion, sixteen million, one hundred fifteen thousand, two hundred".