2112870144 has 144 divisors (see below), whose sum is σ = 7011083520. Its totient is φ = 548782080.

The previous prime is 2112870121. The next prime is 2112870187. The reversal of 2112870144 is 4410782112.

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 15 ways as a sum of consecutive naturals, for example, 41272 + ... + 77000.

It is an arithmetic number, because the mean of its divisors is an integer number (48688080).

Almost surely, 2^2112870144 is an apocalyptic number.

2112870144 is a gapful number since it is divisible by the number (24) 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 2112870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505541760).

2112870144 is an abundant number, since it is smaller than the sum of its proper divisors (4898213376).

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

2112870144 is a wasteful number, since it uses less digits than its factorization.

2112870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35766 (or 35752 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2112870144 is about 45965.9672366415. The cubic root of 2112870144 is about 1283.1899083582.

The spelling of 2112870144 in words is "two billion, one hundred twelve million, eight hundred seventy thousand, one hundred forty-four".