24542072240 has 160 divisors (see below), whose sum is σ = 66024167040. Its totient is φ = 8310177792.

The previous prime is 24542072239. The next prime is 24542072249. The reversal of 24542072240 is 4227024542.

It is a junction number, because it is equal to n+sod(n) for n = 24542072197 and 24542072206.

It is not an unprimeable number, because it can be changed into a prime (24542072249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24615422 + ... + 24616418.

It is an arithmetic number, because the mean of its divisors is an integer number (412651044).

Almost surely, 2^24542072240 is an apocalyptic number.

24542072240 is a gapful number since it is divisible by the number (20) 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 24542072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33012083520).

24542072240 is an abundant number, since it is smaller than the sum of its proper divisors (41482094800).

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

24542072240 is a wasteful number, since it uses less digits than its factorization.

24542072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 32.

Adding to 24542072240 its reverse (4227024542), we get a palindrome (28769096782).

The spelling of 24542072240 in words is "twenty-four billion, five hundred forty-two million, seventy-two thousand, two hundred forty".