21849310224 has 320 divisors, whose sum is σ = 75942758400. Its totient is φ = 5875296768.

The previous prime is 21849310177. The next prime is 21849310267. The reversal of 21849310224 is 42201394812.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9364162 + ... + 9366494.

It is an arithmetic number, because the mean of its divisors is an integer number (237321120).

Almost surely, 2^21849310224 is an apocalyptic number.

21849310224 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 21849310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37971379200).

21849310224 is an abundant number, since it is smaller than the sum of its proper divisors (54093448176).

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

21849310224 is a wasteful number, since it uses less digits than its factorization.

21849310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 21849310224 in words is "twenty-one billion, eight hundred forty-nine million, three hundred ten thousand, two hundred twenty-four".