2165230221660 has 576 divisors, whose sum is σ = 7606475735040. Its totient is φ = 493389135360.

The previous prime is 2165230221617. The next prime is 2165230221689. The reversal of 2165230221660 is 661220325612.

2165230221660 is a `hidden beast` number, since 21 + 65 + 2 + 302 + 216 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2083955421 + ... + 2083956459.

It is an arithmetic number, because the mean of its divisors is an integer number (13205687040).

Almost surely, 2^{2165230221660} is an apocalyptic number.

2165230221660 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 2165230221660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803237867520).

2165230221660 is an abundant number, since it is smaller than the sum of its proper divisors (5441245513380).

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

2165230221660 is a wasteful number, since it uses less digits than its factorization.

2165230221660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2165230221660 in words is "two trillion, one hundred sixty-five billion, two hundred thirty million, two hundred twenty-one thousand, six hundred sixty".