2008379880 has 256 divisors, whose sum is σ = 7348320000. Its totient is φ = 484862976.

The previous prime is 2008379861. The next prime is 2008379897. The reversal of 2008379880 is 889738002.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742771 + ... + 745469.

It is an arithmetic number, because the mean of its divisors is an integer number (28704375).

Almost surely, 2^2008379880 is an apocalyptic number.

2008379880 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 2008379880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674160000).

2008379880 is an abundant number, since it is smaller than the sum of its proper divisors (5339940120).

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

2008379880 is a wasteful number, since it uses less digits than its factorization.

2008379880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2008379880 is about 44814.9515229014. The cubic root of 2008379880 is about 1261.6782625047.

The spelling of 2008379880 in words is "two billion, eight million, three hundred seventy-nine thousand, eight hundred eighty".