22242400440024 has 64 divisors (see below), whose sum is σ = 58966285910400. Its totient is φ = 6967419113984.

The previous prime is 22242400440017. The next prime is 22242400440097. The reversal of 22242400440024 is 42004400424222.

It is a happy number.

It is a super-2 number, since 2×22242400440024² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22242400439973 and 22242400440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41093562 + ... + 41631305.

It is an arithmetic number, because the mean of its divisors is an integer number (921348217350).

Almost surely, 2^{22242400440024} is an apocalyptic number.

22242400440024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22242400440024 is an abundant number, since it is smaller than the sum of its proper divisors (36723885470376).

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

22242400440024 is a wasteful number, since it uses less digits than its factorization.

22242400440024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82725552 (or 82725548 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 22242400440024 its reverse (42004400424222), we get a palindrome (64246800864246).

The spelling of 22242400440024 in words is "twenty-two trillion, two hundred forty-two billion, four hundred million, four hundred forty thousand, twenty-four".