2122517584404 has 216 divisors, whose sum is σ = 6334952937768. Its totient is φ = 597346928640.

The previous prime is 2122517584373. The next prime is 2122517584423. The reversal of 2122517584404 is 4044857152212.

2122517584404 is a `hidden beast` number, since 2 + 1 + 2 + 25 + 1 + 7 + 584 + 40 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67589600400 + 2054927984004 = 259980^2 + 1433502^2 .

It is a super-2 number, since 2×2122517584404² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122517584404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102620944 + ... + 102641624.

It is an arithmetic number, because the mean of its divisors is an integer number (29328485823).

Almost surely, 2^{2122517584404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122517584404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167476468884).

2122517584404 is an abundant number, since it is smaller than the sum of its proper divisors (4212435353364).

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

2122517584404 is a wasteful number, since it uses less digits than its factorization.

2122517584404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21575 (or 21563 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 2122517584404 in words is "two trillion, one hundred twenty-two billion, five hundred seventeen million, five hundred eighty-four thousand, four hundred four".