2112111600984 has 768 divisors, whose sum is σ = 7557716275200. Its totient is φ = 536702630400.

The previous prime is 2112111600961. The next prime is 2112111601031. The reversal of 2112111600984 is 4890061112112.

2112111600984 is a `hidden beast` number, since 2 + 11 + 21 + 11 + 600 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×2112111600984² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2072729227 + ... + 2072730245.

It is an arithmetic number, because the mean of its divisors is an integer number (9840776400).

Almost surely, 2^{2112111600984} is an apocalyptic number.

2112111600984 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 2112111600984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778858137600).

2112111600984 is an abundant number, since it is smaller than the sum of its proper divisors (5445604674216).

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

2112111600984 is a wasteful number, since it uses less digits than its factorization.

2112111600984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 2112111600984 in words is "two trillion, one hundred twelve billion, one hundred eleven million, six hundred thousand, nine hundred eighty-four".