4182581952 has 84 divisors (see below), whose sum is σ = 11997552840. Its totient is φ = 1393155072.

The previous prime is 4182581951. The next prime is 4182581959. The reversal of 4182581952 is 2591852814.

4182581952 is a `hidden beast` number, since 4 + 18 + 2 + 581 + 9 + 52 = 666.

It is a super-2 number, since 2×4182581952² = 34987983570392260608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4182581898 and 4182581907.

It is not an unprimeable number, because it can be changed into a prime (4182581951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1414908 + ... + 1417860.

It is an arithmetic number, because the mean of its divisors is an integer number (142828010).

Almost surely, 2^4182581952 is an apocalyptic number.

It is an amenable number.

4182581952 is an abundant number, since it is smaller than the sum of its proper divisors (7814970888).

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

4182581952 is a wasteful number, since it uses less digits than its factorization.

4182581952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5430 (or 5417 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 4182581952 is about 64672.8842096902. The cubic root of 4182581952 is about 1611.1951764843.

The spelling of 4182581952 in words is "four billion, one hundred eighty-two million, five hundred eighty-one thousand, nine hundred fifty-two".