24270240 has 96 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 6354944.

The previous prime is 24270227. The next prime is 24270247. The reversal of 24270240 is 4207242.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (24270247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27892 + ... + 28748.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 2^24270240 is an apocalyptic number.

24270240 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 24270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

24270240 is an abundant number, since it is smaller than the sum of its proper divisors (53567520).

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

24270240 is a wasteful number, since it uses less digits than its factorization.

24270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 24270240 is about 4926.4835329066. The cubic root of 24270240 is about 289.5285244280.

Adding to 24270240 its reverse (4207242), we get a palindrome (28477482).

The spelling of 24270240 in words is "twenty-four million, two hundred seventy thousand, two hundred forty".