2008831586328 has 256 divisors, whose sum is σ = 6398609817600. Its totient is φ = 572032212480.

The previous prime is 2008831586323. The next prime is 2008831586369. The reversal of 2008831586328 is 8236851388002.

2008831586328 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 8 + 31 + 586 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008831586323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1159163350 + ... + 1159165082.

It is an arithmetic number, because the mean of its divisors is an integer number (24994569600).

Almost surely, 2^{2008831586328} is an apocalyptic number.

2008831586328 is a gapful number since it is divisible by the number (28) 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 2008831586328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199304908800).

2008831586328 is an abundant number, since it is smaller than the sum of its proper divisors (4389778231272).

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

2008831586328 is a wasteful number, since it uses less digits than its factorization.

2008831586328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2008831586328 in words is "two trillion, eight billion, eight hundred thirty-one million, five hundred eighty-six thousand, three hundred twenty-eight".