2008314500 has 48 divisors (see below), whose sum is σ = 4420835328. Its totient is φ = 796975200.

The previous prime is 2008314479. The next prime is 2008314523. The reversal of 2008314500 is 54138002.

2008314500 is nontrivially palindromic in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47687 + ... + 79313.

It is an arithmetic number, because the mean of its divisors is an integer number (92100736).

Almost surely, 2^2008314500 is an apocalyptic number.

2008314500 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 2008314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210417664).

2008314500 is an abundant number, since it is smaller than the sum of its proper divisors (2412520828).

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

2008314500 is a wasteful number, since it uses less digits than its factorization.

2008314500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31773 (or 31761 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2008314500 is about 44814.2220729090. Note that the first 3 decimals coincide. The cubic root of 2008314500 is about 1261.6645716320.

The spelling of 2008314500 in words is "two billion, eight million, three hundred fourteen thousand, five hundred".