24132042 has 48 divisors (see below), whose sum is σ = 57369312. Its totient is φ = 7270560.

The previous prime is 24132041. The next prime is 24132047. The reversal of 24132042 is 24023142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (24132041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60588 + ... + 60984.

It is an arithmetic number, because the mean of its divisors is an integer number (1195194).

Almost surely, 2^24132042 is an apocalyptic number.

24132042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24132042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28684656).

24132042 is an abundant number, since it is smaller than the sum of its proper divisors (33237270).

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

24132042 is a wasteful number, since it uses less digits than its factorization.

24132042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 24132042 is about 4912.4374805182. The cubic root of 24132042 is about 288.9779399915.

Adding to 24132042 its reverse (24023142), we get a palindrome (48155184).

Subtracting from 24132042 its reverse (24023142), we obtain a square (108900 = 330²).

The spelling of 24132042 in words is "twenty-four million, one hundred thirty-two thousand, forty-two".