2112800032 has 72 divisors (see below), whose sum is σ = 4851081900. Its totient is φ = 903168000.

The previous prime is 2112799993. The next prime is 2112800059. The reversal of 2112800032 is 2300082112.

It can be written as a sum of positive squares in 2 ways, for example, as 2100938896 + 11861136 = 45836^2 + 3444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2112799982 and 2112800009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702532 + ... + 705532.

Almost surely, 2^2112800032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425540950).

2112800032 is an abundant number, since it is smaller than the sum of its proper divisors (2738281868).

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

2112800032 is a wasteful number, since it uses less digits than its factorization.

2112800032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2112800032 is about 45965.2045791161. The cubic root of 2112800032 is about 1283.1757147101.

Adding to 2112800032 its reverse (2300082112), we get a palindrome (4412882144).

The spelling of 2112800032 in words is "two billion, one hundred twelve million, eight hundred thousand, thirty-two".