2112163200 has 288 divisors, whose sum is σ = 8614173360. Its totient is φ = 482734080.

The previous prime is 2112163199. The next prime is 2112163259. The reversal of 2112163200 is 23612112.

2112163200 is a `hidden beast` number, since 2 + 11 + 21 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2112163200² = 8922466766868480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196362 + ... + 206838.

Almost surely, 2^2112163200 is an apocalyptic number.

2112163200 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 2112163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307086680).

2112163200 is an abundant number, since it is smaller than the sum of its proper divisors (6502010160).

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

2112163200 is a wasteful number, since it uses less digits than its factorization.

2112163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2112163200 is about 45958.2767300951. The cubic root of 2112163200 is about 1283.0467784705.

Adding to 2112163200 its reverse (23612112), we get a palindrome (2135775312).

The spelling of 2112163200 in words is "two billion, one hundred twelve million, one hundred sixty-three thousand, two hundred".