2185968626320 has 20 divisors (see below), whose sum is σ = 5082377056380. Its totient is φ = 874387450496.

The previous prime is 2185968626221. The next prime is 2185968626321. The reversal of 2185968626320 is 236268695812.

It can be written as a sum of positive squares in 2 ways, for example, as 498910544896 + 1687058081424 = 706336^2 + 1298868^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2185968626321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13662303835 + ... + 13662303994.

It is an arithmetic number, because the mean of its divisors is an integer number (254118852819).

Almost surely, 2^{2185968626320} is an apocalyptic number.

2185968626320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2185968626320 is an abundant number, since it is smaller than the sum of its proper divisors (2896408430060).

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

2185968626320 is a wasteful number, since it uses less digits than its factorization.

2185968626320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27324607842 (or 27324607836 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 2185968626320 in words is "two trillion, one hundred eighty-five billion, nine hundred sixty-eight million, six hundred twenty-six thousand, three hundred twenty".