22245937280 has 320 divisors, whose sum is σ = 64180097280. Its totient is φ = 7365335040.

The previous prime is 22245937277. The next prime is 22245937283. The reversal of 22245937280 is 8273954222.

It is an interprime number because it is at equal distance from previous prime (22245937277) and next prime (22245937283).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22245937283) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47635607 + ... + 47636073.

It is an arithmetic number, because the mean of its divisors is an integer number (200562804).

Almost surely, 2^22245937280 is an apocalyptic number.

22245937280 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 22245937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32090048640).

22245937280 is an abundant number, since it is smaller than the sum of its proper divisors (41934160000).

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

22245937280 is an frugal number, since it uses more digits than its factorization.

22245937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 22245937280 in words is "twenty-two billion, two hundred forty-five million, nine hundred thirty-seven thousand, two hundred eighty".