22424062400 has 84 divisors (see below), whose sum is σ = 55276424880. Its totient is φ = 8953497600.

The previous prime is 22424062379. The next prime is 22424062421. The reversal of 22424062400 is 426042422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22424062379) and next prime (22424062421).

It is a self number, because there is not a number n which added to its sum of digits gives 22424062400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898085 + ... + 922715.

Almost surely, 2^22424062400 is an apocalyptic number.

22424062400 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 22424062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27638212440).

22424062400 is an abundant number, since it is smaller than the sum of its proper divisors (32852362480).

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

22424062400 is a wasteful number, since it uses less digits than its factorization.

22424062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25222 (or 25207 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The spelling of 22424062400 in words is "twenty-two billion, four hundred twenty-four million, sixty-two thousand, four hundred".