2183645952 has 360 divisors, whose sum is σ = 6964643840. Its totient is φ = 679311360.

The previous prime is 2183645929. The next prime is 2183645969. The reversal of 2183645952 is 2595463812.

2183645952 is a `hidden beast` number, since 21 + 8 + 36 + 4 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2183645898 and 2183645907.

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 39 ways as a sum of consecutive naturals, for example, 27641049 + ... + 27641127.

Almost surely, 2^2183645952 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 2183645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482321920).

2183645952 is an abundant number, since it is smaller than the sum of its proper divisors (4780997888).

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

2183645952 is an equidigital number, since it uses as much as digits as its factorization.

2183645952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2183645952 is about 46729.4976647513. The cubic root of 2183645952 is about 1297.3607107651.

The spelling of 2183645952 in words is "two billion, one hundred eighty-three million, six hundred forty-five thousand, nine hundred fifty-two".