22205910240 has 480 divisors, whose sum is σ = 80714763360. Its totient is φ = 5747245056.

The previous prime is 22205910193. The next prime is 22205910241. The reversal of 22205910240 is 4201950222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205910241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86404192 + ... + 86404448.

It is an arithmetic number, because the mean of its divisors is an integer number (168155757).

Almost surely, 2^22205910240 is an apocalyptic number.

22205910240 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 22205910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40357381680).

22205910240 is an abundant number, since it is smaller than the sum of its proper divisors (58508853120).

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

22205910240 is a wasteful number, since it uses less digits than its factorization.

22205910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 22205910240 in words is "twenty-two billion, two hundred five million, nine hundred ten thousand, two hundred forty".