2307645026960 has 320 divisors, whose sum is σ = 6820750110720. Its totient is φ = 706324561920.

The previous prime is 2307645026909. The next prime is 2307645026969. The reversal of 2307645026960 is 696205467032.

It is a junction number, because it is equal to n+sod(n) for n = 2307645026899 and 2307645026908.

It is not an unprimeable number, because it can be changed into a prime (2307645026969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612267956 + ... + 612271724.

It is an arithmetic number, because the mean of its divisors is an integer number (21314844096).

Almost surely, 2^{2307645026960} is an apocalyptic number.

2307645026960 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 2307645026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410375055360).

2307645026960 is an abundant number, since it is smaller than the sum of its proper divisors (4513105083760).

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

2307645026960 is a wasteful number, since it uses less digits than its factorization.

2307645026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6540 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 2307645026960 in words is "two trillion, three hundred seven billion, six hundred forty-five million, twenty-six thousand, nine hundred sixty".