22821824640 has 64 divisors (see below), whose sum is σ = 72744572160. Its totient is φ = 6085819392.

The previous prime is 22821824617. The next prime is 22821824647. The reversal of 22821824640 is 4642812822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22821824640² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22821824647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5941264 + ... + 5945103.

It is an arithmetic number, because the mean of its divisors is an integer number (1136633940).

Almost surely, 2^22821824640 is an apocalyptic number.

22821824640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22821824640 is an abundant number, since it is smaller than the sum of its proper divisors (49922747520).

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

22821824640 is a wasteful number, since it uses less digits than its factorization.

22821824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886389 (or 11886377 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

It can be divided in two parts, 2282182 and 4640, that added together give a palindrome (2286822).

The spelling of 22821824640 in words is "twenty-two billion, eight hundred twenty-one million, eight hundred twenty-four thousand, six hundred forty".