2442141432 has 96 divisors (see below), whose sum is σ = 6782330880. Its totient is φ = 793488960.

The previous prime is 2442141419. The next prime is 2442141463. The reversal of 2442141432 is 2341412442.

2442141432 is a `hidden beast` number, since 244 + 2 + 1 + 414 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2442141396 and 2442141405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915733 + ... + 918395.

It is an arithmetic number, because the mean of its divisors is an integer number (70649280).

Almost surely, 2^2442141432 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 2442141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391165440).

2442141432 is an abundant number, since it is smaller than the sum of its proper divisors (4340189448).

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

2442141432 is a wasteful number, since it uses less digits than its factorization.

2442141432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2986 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2442141432 is about 49418.0273989159. The cubic root of 2442141432 is about 1346.6568273089.

Adding to 2442141432 its reverse (2341412442), we get a palindrome (4783553874).

The spelling of 2442141432 in words is "two billion, four hundred forty-two million, one hundred forty-one thousand, four hundred thirty-two".