2104321309344 has 480 divisors, whose sum is σ = 6839583314256. Its totient is φ = 631896145920.

The previous prime is 2104321309333. The next prime is 2104321309421. The reversal of 2104321309344 is 4439031234012.

2104321309344 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 3 + 2 + 1 + 309 + 344 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 975330057744 + 1128991251600 = 987588^2 + 1062540^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2104321309299 and 2104321309308.

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, 95740084 + ... + 95762060.

Almost surely, 2^{2104321309344} is an apocalyptic number.

2104321309344 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 2104321309344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419791657128).

2104321309344 is an abundant number, since it is smaller than the sum of its proper divisors (4735262004912).

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

2104321309344 is a wasteful number, since it uses less digits than its factorization.

2104321309344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22110 (or 22093 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2104321309344 in words is "two trillion, one hundred four billion, three hundred twenty-one million, three hundred nine thousand, three hundred forty-four".