2304380897280 has 2688 divisors, whose sum is σ = 10931063270400. Its totient is φ = 451480780800.

The previous prime is 2304380897249. The next prime is 2304380897309. The reversal of 2304380897280 is 827980834032.

2304380897280 is a `hidden beast` number, since 230 + 4 + 380 + 8 + 9 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×2304380897280² (a number of 26 digits) contains 22 as substring.

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

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 223 ways as a sum of consecutive naturals, for example, 10921236375 + ... + 10921236585.

It is an arithmetic number, because the mean of its divisors is an integer number (4066615800).

Almost surely, 2^{2304380897280} is an apocalyptic number.

2304380897280 is a gapful number since it is divisible by the number (20) 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 2304380897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465531635200).

2304380897280 is an abundant number, since it is smaller than the sum of its proper divisors (8626682373120).

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

2304380897280 is a wasteful number, since it uses less digits than its factorization.

2304380897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2304380897280 in words is "two trillion, three hundred four billion, three hundred eighty million, eight hundred ninety-seven thousand, two hundred eighty".