2142212184000 has 2016 divisors, whose sum is σ = 9477384973056. Its totient is φ = 477346867200.

The previous prime is 2142212183999. The next prime is 2142212184037. The reversal of 2142212184000 is 4812122412.

2142212184000 is a `hidden beast` number, since 2 + 1 + 42 + 2 + 1 + 218 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4096007739 + ... + 4096008261.

It is an arithmetic number, because the mean of its divisors is an integer number (4701083816).

Almost surely, 2^{2142212184000} is an apocalyptic number.

2142212184000 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 2142212184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738692486528).

2142212184000 is an abundant number, since it is smaller than the sum of its proper divisors (7335172789056).

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

2142212184000 is an equidigital number, since it uses as much as digits as its factorization.

2142212184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 2142212184000 in words is "two trillion, one hundred forty-two billion, two hundred twelve million, one hundred eighty-four thousand".