2028112697184 has 192 divisors, whose sum is σ = 6409032860160. Its totient is φ = 548580003840.

The previous prime is 2028112697173. The next prime is 2028112697207. The reversal of 2028112697184 is 4817962118202.

It is a super-2 number, since 2×2028112697184² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18497244 + ... + 18606564.

It is an arithmetic number, because the mean of its divisors is an integer number (33380379480).

Almost surely, 2^{2028112697184} is an apocalyptic number.

2028112697184 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 2028112697184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204516430080).

2028112697184 is an abundant number, since it is smaller than the sum of its proper divisors (4380920162976).

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

2028112697184 is a wasteful number, since it uses less digits than its factorization.

2028112697184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110813 (or 110805 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 2028112697184 in words is "two trillion, twenty-eight billion, one hundred twelve million, six hundred ninety-seven thousand, one hundred eighty-four".