2008918520 has 64 divisors (see below), whose sum is σ = 5211587520. Its totient is φ = 682665984.

The previous prime is 2008918511. The next prime is 2008918523. The reversal of 2008918520 is 258198002.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008918523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107 + ... + 63386.

It is an arithmetic number, because the mean of its divisors is an integer number (81431055).

Almost surely, 2^2008918520 is an apocalyptic number.

2008918520 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 2008918520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605793760).

2008918520 is an abundant number, since it is smaller than the sum of its proper divisors (3202669000).

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

2008918520 is a wasteful number, since it uses less digits than its factorization.

2008918520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63624 (or 63620 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 2008918520 is about 44820.9607215196. The cubic root of 2008918520 is about 1261.7910448922.

The spelling of 2008918520 in words is "two billion, eight million, nine hundred eighteen thousand, five hundred twenty".