2008288512 has 288 divisors, whose sum is σ = 6313507200. Its totient is φ = 628604928.

The previous prime is 2008288507. The next prime is 2008288517. The reversal of 2008288512 is 2158828002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2008288507) and next prime (2008288517).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008288517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8619148 + ... + 8619380.

It is an arithmetic number, because the mean of its divisors is an integer number (21921900).

Almost surely, 2^2008288512 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 2008288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156753600).

2008288512 is an abundant number, since it is smaller than the sum of its proper divisors (4305218688).

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

2008288512 is a wasteful number, since it uses less digits than its factorization.

2008288512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2008288512 is about 44813.9321193756. The cubic root of 2008288512 is about 1261.6591295427.

The spelling of 2008288512 in words is "two billion, eight million, two hundred eighty-eight thousand, five hundred twelve".