24040042224 has 160 divisors (see below), whose sum is σ = 68908589568. Its totient is φ = 7160832000.

The previous prime is 24040042211. The next prime is 24040042241. The reversal of 24040042224 is 42224004042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 24040042194 and 24040042203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16231564 + ... + 16233044.

Almost surely, 2^24040042224 is an apocalyptic number.

24040042224 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 24040042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34454294784).

24040042224 is an abundant number, since it is smaller than the sum of its proper divisors (44868547344).

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

24040042224 is a wasteful number, since it uses less digits than its factorization.

24040042224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 24040042224 its reverse (42224004042), we get a palindrome (66264046266).

The spelling of 24040042224 in words is "twenty-four billion, forty million, forty-two thousand, two hundred twenty-four".