2121338535624 has 768 divisors, whose sum is σ = 7615080345600. Its totient is φ = 540952473600.

The previous prime is 2121338535623. The next prime is 2121338535629. The reversal of 2121338535624 is 4265358331212.

2121338535624 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 3 + 85 + 3 + 562 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2121338535624.

It is not an unprimeable number, because it can be changed into a prime (2121338535623) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2917934349 + ... + 2917935075.

It is an arithmetic number, because the mean of its divisors is an integer number (9915469200).

Almost surely, 2^{2121338535624} is an apocalyptic number.

2121338535624 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 2121338535624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807540172800).

2121338535624 is an abundant number, since it is smaller than the sum of its proper divisors (5493741809976).

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

2121338535624 is a wasteful number, since it uses less digits than its factorization.

2121338535624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1174 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 2121338535624 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-eight million, five hundred thirty-five thousand, six hundred twenty-four".