2008329792 has 448 divisors, whose sum is σ = 6866534400. Its totient is φ = 505128960.

The previous prime is 2008329769. The next prime is 2008329821. The reversal of 2008329792 is 2979238002.

2008329792 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34039459 + ... + 34039517.

Almost surely, 2^2008329792 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 2008329792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433267200).

2008329792 is an abundant number, since it is smaller than the sum of its proper divisors (4858204608).

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

2008329792 is a wasteful number, since it uses less digits than its factorization.

2008329792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2008329792 is about 44814.3926880640. The cubic root of 2008329792 is about 1261.6677738737.

The spelling of 2008329792 in words is "two billion, eight million, three hundred twenty-nine thousand, seven hundred ninety-two".