22224263952240 has 400 divisors, whose sum is σ = 88329301080768. Its totient is φ = 5073252175872.

The previous prime is 22224263952221. The next prime is 22224263952251. The reversal of 22224263952240 is 4225936242222.

22224263952240 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 4 + 2 + 639 + 5 + 2 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34746364 + ... + 35380196.

Almost surely, 2^{22224263952240} is an apocalyptic number.

22224263952240 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 22224263952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44164650540384).

22224263952240 is an abundant number, since it is smaller than the sum of its proper divisors (66105037128528).

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

22224263952240 is a wasteful number, since it uses less digits than its factorization.

22224263952240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634638 (or 634623 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 22224263952240 in words is "twenty-two trillion, two hundred twenty-four billion, two hundred sixty-three million, nine hundred fifty-two thousand, two hundred forty".