2112859728 has 240 divisors, whose sum is σ = 7252452480. Its totient is φ = 582640128.

The previous prime is 2112859711. The next prime is 2112859747. The reversal of 2112859728 is 8279582112.

2112859728 is a `hidden beast` number, since 2 + 11 + 28 + 597 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787926 + ... + 790602.

It is an arithmetic number, because the mean of its divisors is an integer number (30218552).

Almost surely, 2^2112859728 is an apocalyptic number.

2112859728 is a gapful number since it is divisible by the number (28) 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 2112859728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626226240).

2112859728 is an abundant number, since it is smaller than the sum of its proper divisors (5139592752).

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

2112859728 is a wasteful number, since it uses less digits than its factorization.

2112859728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2718 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 2112859728 is about 45965.8539352855. The cubic root of 2112859728 is about 1283.1877997370.

The spelling of 2112859728 in words is "two billion, one hundred twelve million, eight hundred fifty-nine thousand, seven hundred twenty-eight".