2161829376 has 120 divisors (see below), whose sum is σ = 7130604624. Its totient is φ = 617656320.

The previous prime is 2161829353. The next prime is 2161829399. The reversal of 2161829376 is 6739281612.

2161829376 is a `hidden beast` number, since 2 + 1 + 618 + 29 + 3 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2161829353) and next prime (2161829399).

It is a super-3 number, since 3×2161829376³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255 + ... + 65766.

Almost surely, 2^2161829376 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 2161829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565302312).

2161829376 is an abundant number, since it is smaller than the sum of its proper divisors (4968775248).

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

2161829376 is an equidigital number, since it uses as much as digits as its factorization.

2161829376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67052 (or 67033 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2161829376 is about 46495.4769413112. The cubic root of 2161829376 is about 1293.0256435538.

The spelling of 2161829376 in words is "two billion, one hundred sixty-one million, eight hundred twenty-nine thousand, three hundred seventy-six".