2301728447880 has 288 divisors, whose sum is σ = 7916732553600. Its totient is φ = 579892836096.

The previous prime is 2301728447857. The next prime is 2301728447897. The reversal of 2301728447880 is 887448271032.

2301728447880 is a `hidden beast` number, since 2 + 3 + 0 + 17 + 2 + 84 + 478 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47671191 + ... + 47719449.

It is an arithmetic number, because the mean of its divisors is an integer number (27488654700).

Almost surely, 2^{2301728447880} is an apocalyptic number.

2301728447880 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 2301728447880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958366276800).

2301728447880 is an abundant number, since it is smaller than the sum of its proper divisors (5615004105720).

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

2301728447880 is a wasteful number, since it uses less digits than its factorization.

2301728447880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48681 (or 48655 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 2301728447880 in words is "two trillion, three hundred one billion, seven hundred twenty-eight million, four hundred forty-seven thousand, eight hundred eighty".