2116163200 has 192 divisors, whose sum is σ = 5475508920. Its totient is φ = 807321600.

The previous prime is 2116163197. The next prime is 2116163219. The reversal of 2116163200 is 23616112.

It can be written as a sum of positive squares in 12 ways, for example, as 403527744 + 1712635456 = 20088^2 + 41384^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7222254 + ... + 7222546.

Almost surely, 2^2116163200 is an apocalyptic number.

2116163200 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 2116163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737754460).

2116163200 is an abundant number, since it is smaller than the sum of its proper divisors (3359345720).

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

2116163200 is a wasteful number, since it uses less digits than its factorization.

2116163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2116163200 is about 46001.7738788408. The cubic root of 2116163200 is about 1283.8562094134.

Adding to 2116163200 its reverse (23616112), we get a palindrome (2139779312).

The spelling of 2116163200 in words is "two billion, one hundred sixteen million, one hundred sixty-three thousand, two hundred".