2165981671364 has 192 divisors, whose sum is σ = 4588647598080. Its totient is φ = 875277342720.

The previous prime is 2165981671361. The next prime is 2165981671391. The reversal of 2165981671364 is 4631761895612.

It is not an unprimeable number, because it can be changed into a prime (2165981671361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3276825194 + ... + 3276825854.

It is an arithmetic number, because the mean of its divisors is an integer number (23899206240).

Almost surely, 2^{2165981671364} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165981671364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294323799040).

2165981671364 is an abundant number, since it is smaller than the sum of its proper divisors (2422665926716).

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

2165981671364 is a wasteful number, since it uses less digits than its factorization.

2165981671364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1316 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 59.

The spelling of 2165981671364 in words is "two trillion, one hundred sixty-five billion, nine hundred eighty-one million, six hundred seventy-one thousand, three hundred sixty-four".