2004327715392 has 336 divisors, whose sum is σ = 5945712355440. Its totient is φ = 645237964800.

The previous prime is 2004327715373. The next prime is 2004327715471. The reversal of 2004327715392 is 2935177234002.

2004327715392 is a `hidden beast` number, since 2 + 0 + 0 + 43 + 2 + 7 + 71 + 539 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 254887658496 + 1749440056896 = 504864^2 + 1322664^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654793542 + ... + 654796602.

Almost surely, 2^{2004327715392} 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 2004327715392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972856177720).

2004327715392 is an abundant number, since it is smaller than the sum of its proper divisors (3941384640048).

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

2004327715392 is a wasteful number, since it uses less digits than its factorization.

2004327715392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 2004327715392 in words is "two trillion, four billion, three hundred twenty-seven million, seven hundred fifteen thousand, three hundred ninety-two".