22402013424 has 160 divisors (see below), whose sum is σ = 67580674560. Its totient is φ = 6262603776.

The previous prime is 22402013339. The next prime is 22402013429. The reversal of 22402013424 is 42431020422.

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 = 22402013394 and 22402013403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22402013429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2896827 + ... + 2904549.

It is an arithmetic number, because the mean of its divisors is an integer number (422379216).

Almost surely, 2^22402013424 is an apocalyptic number.

22402013424 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 22402013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33790337280).

22402013424 is an abundant number, since it is smaller than the sum of its proper divisors (45178661136).

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

22402013424 is a wasteful number, since it uses less digits than its factorization.

22402013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22402013424 its reverse (42431020422), we get a palindrome (64833033846).

The spelling of 22402013424 in words is "twenty-two billion, four hundred two million, thirteen thousand, four hundred twenty-four".