2112832512 has 264 divisors, whose sum is σ = 7236488896. Its totient is φ = 603168768.

The previous prime is 2112832493. The next prime is 2112832517. The reversal of 2112832512 is 2152382112.

2112832512 is a `hidden beast` number, since 2 + 112 + 8 + 32 + 512 = 666.

It is a super-2 number, since 2×2112832512² = 8928122447528460288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112832517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741218 + ... + 1742430.

Almost surely, 2^2112832512 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 2112832512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618244448).

2112832512 is an abundant number, since it is smaller than the sum of its proper divisors (5123656384).

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

2112832512 is an equidigital number, since it uses as much as digits as its factorization.

2112832512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1225 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2112832512 is about 45965.5578884886. The cubic root of 2112832512 is about 1283.1822900813.

The spelling of 2112832512 in words is "two billion, one hundred twelve million, eight hundred thirty-two thousand, five hundred twelve".