2305232081680 has 80 divisors (see below), whose sum is σ = 5847475737600. Its totient is φ = 838184647680.

The previous prime is 2305232081629. The next prime is 2305232081689. The reversal of 2305232081680 is 861802325032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2305232081689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9319441 + ... + 9563599.

It is an arithmetic number, because the mean of its divisors is an integer number (73093446720).

Almost surely, 2^{2305232081680} is an apocalyptic number.

2305232081680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305232081680 is an abundant number, since it is smaller than the sum of its proper divisors (3542243655920).

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

2305232081680 is a wasteful number, since it uses less digits than its factorization.

2305232081680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254912 (or 254906 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 2305232081680 in words is "two trillion, three hundred five billion, two hundred thirty-two million, eighty-one thousand, six hundred eighty".