2161982592 has 192 divisors, whose sum is σ = 7756781760. Its totient is φ = 561530880.

The previous prime is 2161982591. The next prime is 2161982617. The reversal of 2161982592 is 2952891612.

It is a happy number.

2161982592 is a `hidden beast` number, since 2 + 1 + 619 + 8 + 25 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2161982592² = 9348337456222076928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2161982591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76518 + ... + 100890.

It is an arithmetic number, because the mean of its divisors is an integer number (40399905).

Almost surely, 2^2161982592 is an apocalyptic number.

2161982592 is a gapful number since it is divisible by the number (22) 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 2161982592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878390880).

2161982592 is an abundant number, since it is smaller than the sum of its proper divisors (5594799168).

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

2161982592 is a wasteful number, since it uses less digits than its factorization.

2161982592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24411 (or 24396 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 2161982592 is about 46497.1245562562. The cubic root of 2161982592 is about 1293.0561898339.

The spelling of 2161982592 in words is "two billion, one hundred sixty-one million, nine hundred eighty-two thousand, five hundred ninety-two".