2142112896 has 768 divisors, whose sum is σ = 8554291200. Its totient is φ = 497664000.

The previous prime is 2142112883. The next prime is 2142112901. The reversal of 2142112896 is 6982112412.

2142112896 is a `hidden beast` number, since 21 + 421 + 128 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2142112896.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52246636 + ... + 52246676.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 2^2142112896 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 2142112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277145600).

2142112896 is an abundant number, since it is smaller than the sum of its proper divisors (6412178304).

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

2142112896 is a wasteful number, since it uses less digits than its factorization.

2142112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2142112896 is about 46282.9655056804. The cubic root of 2142112896 is about 1289.0827154842.

The spelling of 2142112896 in words is "two billion, one hundred forty-two million, one hundred twelve thousand, eight hundred ninety-six".