2183825664 has 144 divisors (see below), whose sum is σ = 6507278400. Its totient is φ = 722386944.

The previous prime is 2183825603. The next prime is 2183825669. The reversal of 2183825664 is 4665283812.

2183825664 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 82 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2183825669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959632 + ... + 961904.

Almost surely, 2^2183825664 is an apocalyptic number.

2183825664 is a gapful number since it is divisible by the number (24) 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 2183825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253639200).

2183825664 is an abundant number, since it is smaller than the sum of its proper divisors (4323452736).

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

2183825664 is a wasteful number, since it uses less digits than its factorization.

2183825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2417 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2183825664 is about 46731.4205219572. The cubic root of 2183825664 is about 1297.3963003093.

The spelling of 2183825664 in words is "two billion, one hundred eighty-three million, eight hundred twenty-five thousand, six hundred sixty-four".