22632135240 has 576 divisors, whose sum is σ = 84536161920. Its totient is φ = 4832256000.

The previous prime is 22632135233. The next prime is 22632135257. The reversal of 22632135240 is 4253123622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22632135198 and 22632135207.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56439040 + ... + 56439440.

It is an arithmetic number, because the mean of its divisors is an integer number (146764170).

Almost surely, 2^22632135240 is an apocalyptic number.

22632135240 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 22632135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42268080960).

22632135240 is an abundant number, since it is smaller than the sum of its proper divisors (61904026680).

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

22632135240 is a wasteful number, since it uses less digits than its factorization.

22632135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 22632135240 its reverse (4253123622), we get a palindrome (26885258862).

The spelling of 22632135240 in words is "twenty-two billion, six hundred thirty-two million, one hundred thirty-five thousand, two hundred forty".