20241434240 has 128 divisors (see below), whose sum is σ = 49045288320. Its totient is φ = 7987507200.

The previous prime is 20241434203. The next prime is 20241434249. The reversal of 20241434240 is 4243414202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20241434249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31479359 + ... + 31480001.

It is an arithmetic number, because the mean of its divisors is an integer number (383166315).

Almost surely, 2^20241434240 is an apocalyptic number.

20241434240 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 20241434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24522644160).

20241434240 is an abundant number, since it is smaller than the sum of its proper divisors (28803854080).

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

20241434240 is a wasteful number, since it uses less digits than its factorization.

20241434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 20241434240 its reverse (4243414202), we get a palindrome (24484848442).

The spelling of 20241434240 in words is "twenty billion, two hundred forty-one million, four hundred thirty-four thousand, two hundred forty".