2008156500 has 288 divisors, whose sum is σ = 7440066816. Its totient is φ = 446342400.

The previous prime is 2008156499. The next prime is 2008156511. The reversal of 2008156500 is 56518002.

2008156500 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 1 + 5 + 650 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1164639 + ... + 1166361.

Almost surely, 2^2008156500 is an apocalyptic number.

2008156500 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 2008156500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720033408).

2008156500 is an abundant number, since it is smaller than the sum of its proper divisors (5431910316).

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

2008156500 is a wasteful number, since it uses less digits than its factorization.

2008156500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2008156500 is about 44812.4592050024. The cubic root of 2008156500 is about 1261.6314844785.

The spelling of 2008156500 in words is "two billion, eight million, one hundred fifty-six thousand, five hundred".