2104136784000 has 1024 divisors, whose sum is σ = 8563609267200. Its totient is φ = 505095782400.

The previous prime is 2104136783981. The next prime is 2104136784031. The reversal of 2104136784000 is 4876314012.

2104136784000 is a `hidden beast` number, since 210 + 4 + 1 + 36 + 7 + 8 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168905772 + ... + 168918228.

It is an arithmetic number, because the mean of its divisors is an integer number (8362899675).

Almost surely, 2^{2104136784000} is an apocalyptic number.

2104136784000 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 2104136784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281804633600).

2104136784000 is an abundant number, since it is smaller than the sum of its proper divisors (6459472483200).

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

2104136784000 is a wasteful number, since it uses less digits than its factorization.

2104136784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535 (or 12507 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2104136784000 in words is "two trillion, one hundred four billion, one hundred thirty-six million, seven hundred eighty-four thousand".