2004680448 has 288 divisors, whose sum is σ = 6261998400. Its totient is φ = 631701504.

The previous prime is 2004680423. The next prime is 2004680449. The reversal of 2004680448 is 8440864002.

2004680448 is a `hidden beast` number, since 200 + 4 + 6 + 8 + 0 + 448 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004680449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14632636 + ... + 14632772.

It is an arithmetic number, because the mean of its divisors is an integer number (21743050).

Almost surely, 2^2004680448 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 2004680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130999200).

2004680448 is an abundant number, since it is smaller than the sum of its proper divisors (4257317952).

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

2004680448 is a wasteful number, since it uses less digits than its factorization.

2004680448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2004680448 is about 44773.6579698376. The cubic root of 2004680448 is about 1260.9031167004.

The spelling of 2004680448 in words is "two billion, four million, six hundred eighty thousand, four hundred forty-eight".