2136184684992 has 280 divisors, whose sum is σ = 6592596178256. Its totient is φ = 683321536512.

The previous prime is 2136184684987. The next prime is 2136184685093. The reversal of 2136184684992 is 2994864816312.

2136184684992 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 1 + 84 + 68 + 499 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13925703 + ... + 14078265.

Almost surely, 2^{2136184684992} 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 2136184684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296298089128).

2136184684992 is an abundant number, since it is smaller than the sum of its proper divisors (4456411493264).

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

2136184684992 is a wasteful number, since it uses less digits than its factorization.

2136184684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152697 (or 152678 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 2136184684992 in words is "two trillion, one hundred thirty-six billion, one hundred eighty-four million, six hundred eighty-four thousand, nine hundred ninety-two".