2008536320 has 144 divisors (see below), whose sum is σ = 5557456128. Its totient is φ = 681246720.

The previous prime is 2008536319. The next prime is 2008536391. The reversal of 2008536320 is 236358002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 867965 + ... + 870275.

Almost surely, 2^2008536320 is an apocalyptic number.

2008536320 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 2008536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778728064).

2008536320 is an abundant number, since it is smaller than the sum of its proper divisors (3548919808).

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

2008536320 is an equidigital number, since it uses as much as digits as its factorization.

2008536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2008536320 is about 44816.6968885481. The cubic root of 2008536320 is about 1261.7110205542.

The spelling of 2008536320 in words is "two billion, eight million, five hundred thirty-six thousand, three hundred twenty".