2008686240 has 288 divisors, whose sum is σ = 7525732032. Its totient is φ = 483840000.

The previous prime is 2008686233. The next prime is 2008686259. The reversal of 2008686240 is 426868002.

2008686240 is a `hidden beast` number, since 20 + 0 + 8 + 6 + 8 + 624 + 0 = 666.

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 junction number, because it is equal to n+sod(n) for n = 2008686195 and 2008686204.

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 47 ways as a sum of consecutive naturals, for example, 3341940 + ... + 3342540.

It is an arithmetic number, because the mean of its divisors is an integer number (26131014).

Almost surely, 2^2008686240 is an apocalyptic number.

2008686240 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 2008686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762866016).

2008686240 is an abundant number, since it is smaller than the sum of its proper divisors (5517045792).

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

2008686240 is a wasteful number, since it uses less digits than its factorization.

2008686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2008686240 is about 44818.3694482519. The cubic root of 2008686240 is about 1261.7424117400.

The spelling of 2008686240 in words is "two billion, eight million, six hundred eighty-six thousand, two hundred forty".