2008787464840 has 384 divisors, whose sum is σ = 5450689843200. Its totient is φ = 662749102080.

The previous prime is 2008787464837. The next prime is 2008787464861. The reversal of 2008787464840 is 484647878002.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188808241 + ... + 188818879.

It is an arithmetic number, because the mean of its divisors is an integer number (14194504800).

Almost surely, 2^{2008787464840} is an apocalyptic number.

2008787464840 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 2008787464840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725344921600).

2008787464840 is an abundant number, since it is smaller than the sum of its proper divisors (3441902378360).

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

2008787464840 is a wasteful number, since it uses less digits than its factorization.

2008787464840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10777 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 58.

The spelling of 2008787464840 in words is "two trillion, eight billion, seven hundred eighty-seven million, four hundred sixty-four thousand, eight hundred forty".