2006321521824 has 144 divisors (see below), whose sum is σ = 6061103717760. Its totient is φ = 652462179840.

The previous prime is 2006321521819. The next prime is 2006321521829. The reversal of 2006321521824 is 4281251236002.

2006321521824 is a `hidden beast` number, since 2 + 0 + 0 + 632 + 1 + 5 + 2 + 18 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2006321521819) and next prime (2006321521829).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2006321521829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2827704 + ... + 3465335.

It is an arithmetic number, because the mean of its divisors is an integer number (42090998040).

Almost surely, 2^{2006321521824} is an apocalyptic number.

2006321521824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2006321521824 is an abundant number, since it is smaller than the sum of its proper divisors (4054782195936).

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

2006321521824 is an equidigital number, since it uses as much as digits as its factorization.

2006321521824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293105 (or 6293085 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 2006321521824 its reverse (4281251236002), we get a palindrome (6287572757826).

The spelling of 2006321521824 in words is "two trillion, six billion, three hundred twenty-one million, five hundred twenty-one thousand, eight hundred twenty-four".