2112739200 has 1152 divisors, whose sum is σ = 9668131200. Its totient is φ = 447897600.

The previous prime is 2112739177. The next prime is 2112739217. The reversal of 2112739200 is 29372112.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111196791 + ... + 111196809.

It is an arithmetic number, because the mean of its divisors is an integer number (8392475).

Almost surely, 2^2112739200 is an apocalyptic number.

2112739200 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 2112739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834065600).

2112739200 is an abundant number, since it is smaller than the sum of its proper divisors (7555392000).

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

2112739200 is a wasteful number, since it uses less digits than its factorization.

2112739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2112739200 is about 45964.5428564236. The cubic root of 2112739200 is about 1283.1633994739.

The spelling of 2112739200 in words is "two billion, one hundred twelve million, seven hundred thirty-nine thousand, two hundred".