2184142496256 has 800 divisors, whose sum is σ = 8304195461760. Its totient is φ = 556396314624.

The previous prime is 2184142496209. The next prime is 2184142496339. The reversal of 2184142496256 is 6526942414812.

2184142496256 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 1 + 4 + 2 + 4 + 9 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93756546 + ... + 93779838.

Almost surely, 2^{2184142496256} 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 2184142496256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152097730880).

2184142496256 is an abundant number, since it is smaller than the sum of its proper divisors (6120052965504).

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

2184142496256 is a wasteful number, since it uses less digits than its factorization.

2184142496256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23366 (or 23341 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 2184142496256 in words is "two trillion, one hundred eighty-four billion, one hundred forty-two million, four hundred ninety-six thousand, two hundred fifty-six".