2008332480 has 448 divisors, whose sum is σ = 8058424320. Its totient is φ = 411648000.

The previous prime is 2008332449. The next prime is 2008332497. The reversal of 2008332480 is 842338002.

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 (30).

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, 7465786 + ... + 7466054.

Almost surely, 2^2008332480 is an apocalyptic number.

2008332480 is a gapful number since it is divisible by the number (20) 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 2008332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029212160).

2008332480 is an abundant number, since it is smaller than the sum of its proper divisors (6050091840).

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

2008332480 is a wasteful number, since it uses less digits than its factorization.

2008332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2008332480 is about 44814.4226784191. The cubic root of 2008332480 is about 1261.6683367563.

The spelling of 2008332480 in words is "two billion, eight million, three hundred thirty-two thousand, four hundred eighty".