2008682000 has 160 divisors (see below), whose sum is σ = 5459650560. Its totient is φ = 709209600.

The previous prime is 2008681999. The next prime is 2008682009. The reversal of 2008682000 is 2868002.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2008682009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596321 + ... + 599679.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 2^2008682000 is an apocalyptic number.

2008682000 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 2008682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

2008682000 is an abundant number, since it is smaller than the sum of its proper divisors (3450968560).

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

2008682000 is a wasteful number, since it uses less digits than its factorization.

2008682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2008682000 is about 44818.3221461937. The cubic root of 2008682000 is about 1261.7415239637.

The spelling of 2008682000 in words is "two billion, eight million, six hundred eighty-two thousand".