2004468816 has 80 divisors (see below), whose sum is σ = 5928620544. Its totient is φ = 571673472.

The previous prime is 2004468811. The next prime is 2004468863. The reversal of 2004468816 is 6188644002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004468811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192151 + ... + 202313.

Almost surely, 2^2004468816 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 2004468816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964310272).

2004468816 is an abundant number, since it is smaller than the sum of its proper divisors (3924151728).

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

2004468816 is a wasteful number, since it uses less digits than its factorization.

2004468816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10768 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2004468816 is about 44771.2945535418. The cubic root of 2004468816 is about 1260.8587444016.

The spelling of 2004468816 in words is "two billion, four million, four hundred sixty-eight thousand, eight hundred sixteen".