2008812960 has 864 divisors, whose sum is σ = 9076669056. Its totient is φ = 410572800.

The previous prime is 2008812941. The next prime is 2008813039. The reversal of 2008812960 is 692188002.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32931330 + ... + 32931390.

It is an arithmetic number, because the mean of its divisors is an integer number (10505404).

Almost surely, 2^2008812960 is an apocalyptic number.

2008812960 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 2008812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538334528).

2008812960 is an abundant number, since it is smaller than the sum of its proper divisors (7067856096).

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

2008812960 is a wasteful number, since it uses less digits than its factorization.

2008812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2008812960 is about 44819.7831320054. The cubic root of 2008812960 is about 1261.7689439468.

It can be divided in two parts, 200881 and 2960, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 2008812960 in words is "two billion, eight million, eight hundred twelve thousand, nine hundred sixty".