2112808960 has 192 divisors, whose sum is σ = 5492869200. Its totient is φ = 776994816.

The previous prime is 2112808921. The next prime is 2112808969. The reversal of 2112808960 is 698082112.

It can be written as a sum of positive squares in 8 ways, for example, as 1885643776 + 227165184 = 43424^2 + 15072^2 .

It is not an unprimeable number, because it can be changed into a prime (2112808969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9226126 + ... + 9226354.

Almost surely, 2^2112808960 is an apocalyptic number.

2112808960 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 2112808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746434600).

2112808960 is an abundant number, since it is smaller than the sum of its proper divisors (3380060240).

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

2112808960 is a wasteful number, since it uses less digits than its factorization.

2112808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 2112808960 is about 45965.3016959532. The cubic root of 2112808960 is about 1283.1775221341.

The spelling of 2112808960 in words is "two billion, one hundred twelve million, eight hundred eight thousand, nine hundred sixty".