2008466928 has 240 divisors, whose sum is σ = 6369592320. Its totient is φ = 608954112.

The previous prime is 2008466917. The next prime is 2008466947. The reversal of 2008466928 is 8296648002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3992725 + ... + 3993227.

It is an arithmetic number, because the mean of its divisors is an integer number (26539968).

Almost surely, 2^2008466928 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 2008466928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184796160).

2008466928 is an abundant number, since it is smaller than the sum of its proper divisors (4361125392).

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

2008466928 is a wasteful number, since it uses less digits than its factorization.

2008466928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2008466928 is about 44815.9227061097. The cubic root of 2008466928 is about 1261.6964902951.

The spelling of 2008466928 in words is "two billion, eight million, four hundred sixty-six thousand, nine hundred twenty-eight".