22520010240 has 960 divisors, whose sum is σ = 100379575296. Its totient is φ = 4535156736.

The previous prime is 22520010229. The next prime is 22520010241. The reversal of 22520010240 is 4201002522.

22520010240 is a `hidden beast` number, since 2 + 2 + 520 + 0 + 102 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×22520010240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22520010241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48222487 + ... + 48222953.

Almost surely, 2^22520010240 is an apocalyptic number.

22520010240 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 22520010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50189787648).

22520010240 is an abundant number, since it is smaller than the sum of its proper divisors (77859565056).

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

22520010240 is a wasteful number, since it uses less digits than its factorization.

22520010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 22520010240 its reverse (4201002522), we get a palindrome (26721012762).

The spelling of 22520010240 in words is "twenty-two billion, five hundred twenty million, ten thousand, two hundred forty".