2116195200 has 384 divisors, whose sum is σ = 8853600000. Its totient is φ = 483563520.

The previous prime is 2116195187. The next prime is 2116195217. The reversal of 2116195200 is 25916112.

2116195200 is a `hidden beast` number, since 21 + 1 + 619 + 5 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 603051 + ... + 606549.

It is an arithmetic number, because the mean of its divisors is an integer number (23056250).

Almost surely, 2^2116195200 is an apocalyptic number.

2116195200 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 2116195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426800000).

2116195200 is an abundant number, since it is smaller than the sum of its proper divisors (6737404800).

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

2116195200 is a wasteful number, since it uses less digits than its factorization.

2116195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 2116195200 is about 46002.1216902003. The cubic root of 2116195200 is about 1283.8626807466.

The spelling of 2116195200 in words is "two billion, one hundred sixteen million, one hundred ninety-five thousand, two hundred".