2300328380448 has 864 divisors, whose sum is σ = 8392089888000. Its totient is φ = 618246494208.

The previous prime is 2300328380443. The next prime is 2300328380489. The reversal of 2300328380448 is 8440838230032.

2300328380448 is a `hidden beast` number, since 23 + 0 + 0 + 32 + 83 + 80 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2300328380443) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1224229173 + ... + 1224231051.

It is an arithmetic number, because the mean of its divisors is an integer number (9713067000).

Almost surely, 2^{2300328380448} is an apocalyptic number.

2300328380448 is a gapful number since it is divisible by the number (28) 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 2300328380448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196044944000).

2300328380448 is an abundant number, since it is smaller than the sum of its proper divisors (6091761507552).

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

2300328380448 is an frugal number, since it uses more digits than its factorization.

2300328380448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 2300328380448 in words is "two trillion, three hundred billion, three hundred twenty-eight million, three hundred eighty thousand, four hundred forty-eight".