2166227424440 has 128 divisors (see below), whose sum is σ = 5002557235200. Its totient is φ = 844000404480.

The previous prime is 2166227424371. The next prime is 2166227424463. The reversal of 2166227424440 is 444247226612.

It is a junction number, because it is equal to n+sod(n) for n = 2166227424391 and 2166227424400.

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, 77509109 + ... + 77537051.

It is an arithmetic number, because the mean of its divisors is an integer number (39082478400).

Almost surely, 2^{2166227424440} is an apocalyptic number.

2166227424440 is a gapful number since it is divisible by the number (20) 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 2166227424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501278617600).

2166227424440 is an abundant number, since it is smaller than the sum of its proper divisors (2836329810760).

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

2166227424440 is a wasteful number, since it uses less digits than its factorization.

2166227424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28357 (or 28353 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 44.

The spelling of 2166227424440 in words is "two trillion, one hundred sixty-six billion, two hundred twenty-seven million, four hundred twenty-four thousand, four hundred forty".