22267260288 has 384 divisors, whose sum is σ = 81794469120. Its totient is φ = 5871937536.

The previous prime is 22267260283. The next prime is 22267260293. The reversal of 22267260288 is 88206276222.

It is an interprime number because it is at equal distance from previous prime (22267260283) and next prime (22267260293).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22267260283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2826531 + ... + 2834397.

It is an arithmetic number, because the mean of its divisors is an integer number (213006430).

Almost surely, 2^22267260288 is an apocalyptic number.

22267260288 is a gapful number since it is divisible by the number (28) 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 22267260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40897234560).

22267260288 is an abundant number, since it is smaller than the sum of its proper divisors (59527208832).

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

22267260288 is an equidigital number, since it uses as much as digits as its factorization.

22267260288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 22267260288 in words is "twenty-two billion, two hundred sixty-seven million, two hundred sixty thousand, two hundred eighty-eight".