2004481603584 has 288 divisors, whose sum is σ = 6210799686000. Its totient is φ = 645115871232.

The previous prime is 2004481603583. The next prime is 2004481603603. The reversal of 2004481603584 is 4853061844002.

2004481603584 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 8 + 1 + 60 + 3 + 584 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004481603583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14362812 + ... + 14501700.

Almost surely, 2^{2004481603584} is an apocalyptic number.

2004481603584 is a gapful number since it is divisible by the number (24) 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 2004481603584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105399843000).

2004481603584 is an abundant number, since it is smaller than the sum of its proper divisors (4206318082416).

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

2004481603584 is an equidigital number, since it uses as much as digits as its factorization.

2004481603584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138955 (or 138923 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2004481603584 in words is "two trillion, four billion, four hundred eighty-one million, six hundred three thousand, five hundred eighty-four".