2384104064256 has 288 divisors, whose sum is σ = 7358485357440. Its totient is φ = 760684953600.

The previous prime is 2384104064191. The next prime is 2384104064291. The reversal of 2384104064256 is 6524604014832.

2384104064256 is a `hidden beast` number, since 2 + 384 + 10 + 4 + 0 + 6 + 4 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14940411 + ... + 15099141.

It is an arithmetic number, because the mean of its divisors is an integer number (25550296380).

Almost surely, 2^{2384104064256} 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 2384104064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679242678720).

2384104064256 is an abundant number, since it is smaller than the sum of its proper divisors (4974381293184).

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

2384104064256 is a wasteful number, since it uses less digits than its factorization.

2384104064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158850 (or 158830 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2384104064256 in words is "two trillion, three hundred eighty-four billion, one hundred four million, sixty-four thousand, two hundred fifty-six".