2008623240 has 192 divisors, whose sum is σ = 7116258240. Its totient is φ = 488378880.

The previous prime is 2008623191. The next prime is 2008623271. The reversal of 2008623240 is 423268002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385855 + ... + 391025.

It is an arithmetic number, because the mean of its divisors is an integer number (37063845).

Almost surely, 2^2008623240 is an apocalyptic number.

2008623240 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 2008623240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558129120).

2008623240 is an abundant number, since it is smaller than the sum of its proper divisors (5107635000).

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

2008623240 is a wasteful number, since it uses less digits than its factorization.

2008623240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2008623240 is about 44817.6666059267. Note that the first 4 decimals coincide. The cubic root of 2008623240 is about 1261.7292205968.

The spelling of 2008623240 in words is "two billion, eight million, six hundred twenty-three thousand, two hundred forty".