22413024000 has 360 divisors, whose sum is σ = 83415460128. Its totient is φ = 5976115200.

The previous prime is 22413023993. The next prime is 22413024001. The reversal of 22413024000 is 42031422.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22413024001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2587677 + ... + 2596323.

Almost surely, 2^22413024000 is an apocalyptic number.

22413024000 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 22413024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41707730064).

22413024000 is an abundant number, since it is smaller than the sum of its proper divisors (61002436128).

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

22413024000 is an frugal number, since it uses more digits than its factorization.

22413024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22413024000 its reverse (42031422), we get a palindrome (22455055422).

The spelling of 22413024000 in words is "twenty-two billion, four hundred thirteen million, twenty-four thousand".