2161973632 has 128 divisors (see below), whose sum is σ = 5326896960. Its totient is φ = 851116032.

The previous prime is 2161973629. The next prime is 2161973641. The reversal of 2161973632 is 2363791612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2161973632³ (a number of 29 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3645528 + ... + 3646120.

Almost surely, 2^2161973632 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 2161973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663448480).

2161973632 is an abundant number, since it is smaller than the sum of its proper divisors (3164923328).

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

2161973632 is a wasteful number, since it uses less digits than its factorization.

2161973632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 928 counting only the distinct ones).

The product of its digits is 81648, while the sum is 40.

The square root of 2161973632 is about 46497.0282061123. The cubic root of 2161973632 is about 1293.0544035414.

The spelling of 2161973632 in words is "two billion, one hundred sixty-one million, nine hundred seventy-three thousand, six hundred thirty-two".