21804952224 has 96 divisors (see below), whose sum is σ = 62518417920. Its totient is φ = 6599417600.

The previous prime is 21804952217. The next prime is 21804952231. The reversal of 21804952224 is 42225940812.

It is a happy number.

It is a Cunningham number, because it is equal to 147665²-1.

It is an interprime number because it is at equal distance from previous prime (21804952217) and next prime (21804952231).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873679 + ... + 898289.

It is an arithmetic number, because the mean of its divisors is an integer number (651233520).

Almost surely, 2^21804952224 is an apocalyptic number.

21804952224 is a gapful number since it is divisible by the number (24) 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 21804952224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31259208960).

21804952224 is an abundant number, since it is smaller than the sum of its proper divisors (40713465696).

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

21804952224 is a wasteful number, since it uses less digits than its factorization.

21804952224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25474 (or 25466 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 21804952224 in words is "twenty-one billion, eight hundred four million, nine hundred fifty-two thousand, two hundred twenty-four".