2112088945824 has 1152 divisors, whose sum is σ = 7729808486400. Its totient is φ = 555778713600.

The previous prime is 2112088945817. The next prime is 2112088945873. The reversal of 2112088945824 is 4285498802112.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6791282629 + ... + 6791282939.

It is an arithmetic number, because the mean of its divisors is an integer number (6709903200).

Almost surely, 2^{2112088945824} is an apocalyptic number.

2112088945824 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 2112088945824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864904243200).

2112088945824 is an abundant number, since it is smaller than the sum of its proper divisors (5617719540576).

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

2112088945824 is a wasteful number, since it uses less digits than its factorization.

2112088945824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 2112088945824 in words is "two trillion, one hundred twelve billion, eighty-eight million, nine hundred forty-five thousand, eight hundred twenty-four".