2122832479104 has 384 divisors, whose sum is σ = 6678183657600. Its totient is φ = 669378484224.

The previous prime is 2122832479099. The next prime is 2122832479111. The reversal of 2122832479104 is 4019742382212.

2122832479104 is a `hidden beast` number, since 21 + 2 + 28 + 32 + 479 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 2122832479104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471005619 + ... + 471010125.

It is an arithmetic number, because the mean of its divisors is an integer number (17391103275).

Almost surely, 2^{2122832479104} is an apocalyptic number.

2122832479104 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 2122832479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339091828800).

2122832479104 is an abundant number, since it is smaller than the sum of its proper divisors (4555351178496).

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

2122832479104 is an equidigital number, since it uses as much as digits as its factorization.

2122832479104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2122832479104 in words is "two trillion, one hundred twenty-two billion, eight hundred thirty-two million, four hundred seventy-nine thousand, one hundred four".