2301266296875 has 224 divisors, whose sum is σ = 4780938803200. Its totient is φ = 958651200000.

The previous prime is 2301266296729. The next prime is 2301266296919. The reversal of 2301266296875 is 5786926621032.

It is not a de Polignac number, because 2301266296875 - 2²⁴ = 2301249519659 is a prime.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 336980961 + ... + 336987789.

It is an arithmetic number, because the mean of its divisors is an integer number (21343476800).

Almost surely, 2^{2301266296875} is an apocalyptic number.

2301266296875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2301266296875 is an abundant number, since it is smaller than the sum of its proper divisors (2479672506325).

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

2301266296875 is an frugal number, since it uses more digits than its factorization.

2301266296875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 2301266296875 in words is "two trillion, three hundred one billion, two hundred sixty-six million, two hundred ninety-six thousand, eight hundred seventy-five".