10022024240 has 240 divisors, whose sum is σ = 25787287008. Its totient is φ = 3618349056.

The previous prime is 10022024239. The next prime is 10022024249. The reversal of 10022024240 is 4242022001.

It is a happy number.

10022024240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10022024249) 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 47 ways as a sum of consecutive naturals, for example, 88690424 + ... + 88690536.

Almost surely, 2^10022024240 is an apocalyptic number.

10022024240 is a gapful number since it is divisible by the number (10) 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 10022024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893643504).

10022024240 is an abundant number, since it is smaller than the sum of its proper divisors (15765262768).

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

10022024240 is a wasteful number, since it uses less digits than its factorization.

10022024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10022024240 its reverse (4242022001), we get a palindrome (14264046241).

The spelling of 10022024240 in words is "ten billion, twenty-two million, twenty-four thousand, two hundred forty".