2008120960 has 128 divisors (see below), whose sum is σ = 4972181760. Its totient is φ = 775004160.

The previous prime is 2008120949. The next prime is 2008120993. The reversal of 2008120960 is 690218002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 2702349 + ... + 2703091.

It is an arithmetic number, because the mean of its divisors is an integer number (38845170).

Almost surely, 2^2008120960 is an apocalyptic number.

2008120960 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 2008120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486090880).

2008120960 is an abundant number, since it is smaller than the sum of its proper divisors (2964060800).

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

2008120960 is a wasteful number, since it uses less digits than its factorization.

2008120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2008120960 is about 44812.0626617432. The cubic root of 2008120960 is about 1261.6240417240.

Adding to 2008120960 its reverse (690218002), we get a palindrome (2698338962).

It can be divided in two parts, 20081 and 20960, that added together give a triangular number (41041 = T₂₈₆).

The spelling of 2008120960 in words is "two billion, eight million, one hundred twenty thousand, nine hundred sixty".