2004504547536 has 960 divisors, whose sum is σ = 6818375024640. Its totient is φ = 560623472640.

The previous prime is 2004504547531. The next prime is 2004504547541. The reversal of 2004504547536 is 6357454054002.

2004504547536 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 50 + 4 + 547 + 53 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2004504547531) and next prime (2004504547541).

It is a junction number, because it is equal to n+sod(n) for n = 2004504547491 and 2004504547500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004504547531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4329383241 + ... + 4329383703.

It is an arithmetic number, because the mean of its divisors is an integer number (7102473984).

Almost surely, 2^{2004504547536} 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 2004504547536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409187512320).

2004504547536 is an abundant number, since it is smaller than the sum of its proper divisors (4813870477104).

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

2004504547536 is a wasteful number, since it uses less digits than its factorization.

2004504547536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 2004504547536 in words is "two trillion, four billion, five hundred four million, five hundred forty-seven thousand, five hundred thirty-six".