22424400024 has 128 divisors (see below), whose sum is σ = 61394941440. Its totient is φ = 6784054272.

The previous prime is 22424400007. The next prime is 22424400029. The reversal of 22424400024 is 42000442422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22424399967 and 22424400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22424400029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4571157 + ... + 4576059.

It is an arithmetic number, because the mean of its divisors is an integer number (479647980).

Almost surely, 2^22424400024 is an apocalyptic number.

22424400024 is a gapful number since it is divisible by the number (24) 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 22424400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30697470720).

22424400024 is an abundant number, since it is smaller than the sum of its proper divisors (38970541416).

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

22424400024 is a wasteful number, since it uses less digits than its factorization.

22424400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22424400024 its reverse (42000442422), we get a palindrome (64424842446).

The spelling of 22424400024 in words is "twenty-two billion, four hundred twenty-four million, four hundred thousand, twenty-four".