2124813644928 has 1024 divisors, whose sum is σ = 7193007360000. Its totient is φ = 612889804800.

The previous prime is 2124813644903. The next prime is 2124813644939. The reversal of 2124813644928 is 8294463184212.

2124813644928 is a `hidden beast` number, since 2 + 1 + 2 + 48 + 136 + 449 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10070206743 + ... + 10070206953.

It is an arithmetic number, because the mean of its divisors is an integer number (7024421250).

Almost surely, 2^{2124813644928} 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 2124813644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596503680000).

2124813644928 is an abundant number, since it is smaller than the sum of its proper divisors (5068193715072).

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

2124813644928 is a wasteful number, since it uses less digits than its factorization.

2124813644928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 2124813644928 in words is "two trillion, one hundred twenty-four billion, eight hundred thirteen million, six hundred forty-four thousand, nine hundred twenty-eight".