22221560006240 has 384 divisors, whose sum is σ = 63578861273088. Its totient is φ = 7174550845440.

The previous prime is 22221560006147. The next prime is 22221560006281. The reversal of 22221560006240 is 4260006512222.

It is a super-2 number, since 2×22221560006240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 22221560006197 and 22221560006206.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4368300977 + ... + 4368306063.

It is an arithmetic number, because the mean of its divisors is an integer number (165569951232).

Almost surely, 2^{22221560006240} is an apocalyptic number.

22221560006240 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 22221560006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31789430636544).

22221560006240 is an abundant number, since it is smaller than the sum of its proper divisors (41357301266848).

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

22221560006240 is a wasteful number, since it uses less digits than its factorization.

22221560006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 22221560006240 its reverse (4260006512222), we get a palindrome (26481566518462).

The spelling of 22221560006240 in words is "twenty-two trillion, two hundred twenty-one billion, five hundred sixty million, six thousand, two hundred forty".