2161766724192 has 72 divisors (see below), whose sum is σ = 6147672653304. Its totient is φ = 720571497984.

The previous prime is 2161766724191. The next prime is 2161766724193. The reversal of 2161766724192 is 2914276671612.

2161766724192 is a `hidden beast` number, since 2 + 1 + 617 + 6 + 6 + 7 + 2 + 4 + 19 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2161766724191) and next prime (2161766724193).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161766724191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18348223 + ... + 18465665.

It is an arithmetic number, because the mean of its divisors is an integer number (85384342407).

Almost surely, 2^{2161766724192} is an apocalyptic number.

It is an amenable number.

2161766724192 is an abundant number, since it is smaller than the sum of its proper divisors (3985905929112).

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

2161766724192 is a wasteful number, since it uses less digits than its factorization.

2161766724192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181372 (or 181361 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 2161766724192 in words is "two trillion, one hundred sixty-one billion, seven hundred sixty-six million, seven hundred twenty-four thousand, one hundred ninety-two".