2298009314304 has 792 divisors, whose sum is σ = 7683810013152. Its totient is φ = 655845949440.

The previous prime is 2298009314299. The next prime is 2298009314323. The reversal of 2298009314304 is 4034139008922.

2298009314304 is a `hidden beast` number, since 2 + 29 + 8 + 0 + 0 + 9 + 314 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a self number, because there is not a number n which added to its sum of digits gives 2298009314304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3914836699 + ... + 3914837285.

Almost surely, 2^{2298009314304} is an apocalyptic number.

2298009314304 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 2298009314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841905006576).

2298009314304 is an abundant number, since it is smaller than the sum of its proper divisors (5385800698848).

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

2298009314304 is a wasteful number, since it uses less digits than its factorization.

2298009314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2298009314304 in words is "two trillion, two hundred ninety-eight billion, nine million, three hundred fourteen thousand, three hundred four".