2305281396960 has 288 divisors, whose sum is σ = 8587512984960. Its totient is φ = 582386692608.

The previous prime is 2305281396937. The next prime is 2305281397049. The reversal of 2305281396960 is 696931825032.

2305281396960 is a `hidden beast` number, since 23 + 0 + 528 + 1 + 3 + 9 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 2305281396897 and 2305281396906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821602 + ... + 2299041.

It is an arithmetic number, because the mean of its divisors is an integer number (29817753420).

Almost surely, 2^{2305281396960} is an apocalyptic number.

2305281396960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305281396960 is an abundant number, since it is smaller than the sum of its proper divisors (6282231588000).

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

2305281396960 is a wasteful number, since it uses less digits than its factorization.

2305281396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120692 (or 3120672 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2305281396960 in words is "two trillion, three hundred five billion, two hundred eighty-one million, three hundred ninety-six thousand, nine hundred sixty".