21242488320 has 240 divisors, whose sum is σ = 73723910832. Its totient is φ = 5652725760.

The previous prime is 21242488307. The next prime is 21242488321. The reversal of 21242488320 is 2388424212.

21242488320 is a `hidden beast` number, since 212 + 42 + 4 + 88 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242488321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18915279 + ... + 18916401.

Almost surely, 2^21242488320 is an apocalyptic number.

21242488320 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 21242488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36861955416).

21242488320 is an abundant number, since it is smaller than the sum of its proper divisors (52481422512).

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

21242488320 is a wasteful number, since it uses less digits than its factorization.

21242488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 21242488320 in words is "twenty-one billion, two hundred forty-two million, four hundred eighty-eight thousand, three hundred twenty".