2008107900 has 216 divisors, whose sum is σ = 6653949120. Its totient is φ = 505720320.

The previous prime is 2008107887. The next prime is 2008107953. The reversal of 2008107900 is 97018002.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1225882 + ... + 1227518.

It is an arithmetic number, because the mean of its divisors is an integer number (30805320).

Almost surely, 2^2008107900 is an apocalyptic number.

2008107900 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 2008107900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326974560).

2008107900 is an abundant number, since it is smaller than the sum of its proper divisors (4645841220).

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

2008107900 is a wasteful number, since it uses less digits than its factorization.

2008107900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2008107900 is about 44811.9169418136. The cubic root of 2008107900 is about 1261.6213066886.

The spelling of 2008107900 in words is "two billion, eight million, one hundred seven thousand, nine hundred".