2008404860 has 96 divisors (see below), whose sum is σ = 5439813120. Its totient is φ = 604396800.

The previous prime is 2008404859. The next prime is 2008404887. The reversal of 2008404860 is 684048002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22175 + ... + 67145.

It is an arithmetic number, because the mean of its divisors is an integer number (56664720).

Almost surely, 2^2008404860 is an apocalyptic number.

2008404860 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 2008404860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719906560).

2008404860 is an abundant number, since it is smaller than the sum of its proper divisors (3431408260).

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

2008404860 is a wasteful number, since it uses less digits than its factorization.

2008404860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45027 (or 45025 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2008404860 is about 44815.2302236639. The cubic root of 2008404860 is about 1261.6834933531.

The spelling of 2008404860 in words is "two billion, eight million, four hundred four thousand, eight hundred sixty".