2047821842304 has 576 divisors, whose sum is σ = 7003730448000. Its totient is φ = 572453167104.

The previous prime is 2047821842293. The next prime is 2047821842309. The reversal of 2047821842304 is 4032481287402.

2047821842304 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 8 + 218 + 423 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 2047821842304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047821842309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1433044662 + ... + 1433046090.

It is an arithmetic number, because the mean of its divisors is an integer number (12159254250).

Almost surely, 2^{2047821842304} is an apocalyptic number.

2047821842304 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 2047821842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501865224000).

2047821842304 is an abundant number, since it is smaller than the sum of its proper divisors (4955908605696).

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

2047821842304 is a wasteful number, since it uses less digits than its factorization.

2047821842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 2047821842304 in words is "two trillion, forty-seven billion, eight hundred twenty-one million, eight hundred forty-two thousand, three hundred four".