2008275984 has 640 divisors, whose sum is σ = 7499520000. Its totient is φ = 505128960.

The previous prime is 2008275959. The next prime is 2008276057. The reversal of 2008275984 is 4895728002.

It is a super-2 number, since 2×2008275984² = 8066344855822336512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34038547 + ... + 34038605.

It is an arithmetic number, because the mean of its divisors is an integer number (11718000).

Almost surely, 2^2008275984 is an apocalyptic number.

2008275984 is a gapful number since it is divisible by the number (24) 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 2008275984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760000).

2008275984 is an abundant number, since it is smaller than the sum of its proper divisors (5491244016).

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

2008275984 is a wasteful number, since it uses less digits than its factorization.

2008275984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2008275984 is about 44813.7923411978. The cubic root of 2008275984 is about 1261.6565060653.

The spelling of 2008275984 in words is "two billion, eight million, two hundred seventy-five thousand, nine hundred eighty-four".