22646682240 has 512 divisors, whose sum is σ = 89392343040. Its totient is φ = 4748820480.

The previous prime is 22646682229. The next prime is 22646682269. The reversal of 22646682240 is 4228664622.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22646682192 and 22646682201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39661155 + ... + 39661725.

It is an arithmetic number, because the mean of its divisors is an integer number (174594420).

Almost surely, 2^22646682240 is an apocalyptic number.

22646682240 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 22646682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44696171520).

22646682240 is an abundant number, since it is smaller than the sum of its proper divisors (66745660800).

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

22646682240 is a wasteful number, since it uses less digits than its factorization.

22646682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 22646682240 in words is "twenty-two billion, six hundred forty-six million, six hundred eighty-two thousand, two hundred forty".