2122354912824 has 320 divisors, whose sum is σ = 6193353830400. Its totient is φ = 678298924800.

The previous prime is 2122354912807. The next prime is 2122354912859. The reversal of 2122354912824 is 4282194532212.

2122354912824 is a `hidden beast` number, since 2 + 1 + 2 + 23 + 549 + 1 + 2 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2122354912824.

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 79 ways as a sum of consecutive naturals, for example, 1072437067 + ... + 1072439045.

It is an arithmetic number, because the mean of its divisors is an integer number (19354230720).

Almost surely, 2^{2122354912824} is an apocalyptic number.

2122354912824 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 2122354912824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096676915200).

2122354912824 is an abundant number, since it is smaller than the sum of its proper divisors (4070998917576).

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

2122354912824 is a wasteful number, since it uses less digits than its factorization.

2122354912824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2483 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 2122354912824 in words is "two trillion, one hundred twenty-two billion, three hundred fifty-four million, nine hundred twelve thousand, eight hundred twenty-four".