22267254240 has 1152 divisors, whose sum is σ = 101021437440. Its totient is φ = 4528742400.

The previous prime is 22267254239. The next prime is 22267254241. The reversal of 22267254240 is 4245276222.

22267254240 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 72 + 542 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22267254239) and next prime (22267254241).

It is a super-2 number, since 2×22267254240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22267254195 and 22267254204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22267254241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169978975 + ... + 169979105.

It is an arithmetic number, because the mean of its divisors is an integer number (87692220).

Almost surely, 2^22267254240 is an apocalyptic number.

22267254240 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 22267254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50510718720).

22267254240 is an abundant number, since it is smaller than the sum of its proper divisors (78754183200).

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

22267254240 is a wasteful number, since it uses less digits than its factorization.

22267254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 22267254240 in words is "twenty-two billion, two hundred sixty-seven million, two hundred fifty-four thousand, two hundred forty".