10221524240 has 80 divisors (see below), whose sum is σ = 25358793600. Its totient is φ = 3820317696.

The previous prime is 10221524239. The next prime is 10221524249. The reversal of 10221524240 is 4242512201.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10221524249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64901 + ... + 157019.

It is an arithmetic number, because the mean of its divisors is an integer number (316984920).

Almost surely, 2^10221524240 is an apocalyptic number.

10221524240 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 10221524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12679396800).

10221524240 is an abundant number, since it is smaller than the sum of its proper divisors (15137269360).

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

10221524240 is a wasteful number, since it uses less digits than its factorization.

10221524240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92224 (or 92218 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The spelling of 10221524240 in words is "ten billion, two hundred twenty-one million, five hundred twenty-four thousand, two hundred forty".