22503221040240 has 320 divisors, whose sum is σ = 82083127593600. Its totient is φ = 5647003140096.

The previous prime is 22503221040217. The next prime is 22503221040271. The reversal of 22503221040240 is 4204012230522.

22503221040240 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 3 + 2 + 210 + 402 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259530334 + ... + 259617026.

It is an arithmetic number, because the mean of its divisors is an integer number (256509773730).

Almost surely, 2^{22503221040240} is an apocalyptic number.

22503221040240 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 22503221040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41041563796800).

22503221040240 is an abundant number, since it is smaller than the sum of its proper divisors (59579906553360).

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

22503221040240 is a wasteful number, since it uses less digits than its factorization.

22503221040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93801 (or 93789 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22503221040240 its reverse (4204012230522), we get a palindrome (26707233270762).

The spelling of 22503221040240 in words is "twenty-two trillion, five hundred three billion, two hundred twenty-one million, forty thousand, two hundred forty".