21242410320 has 80 divisors (see below), whose sum is σ = 65992829760. Its totient is φ = 5652483072.

The previous prime is 21242410297. The next prime is 21242410331. The reversal of 21242410320 is 2301424212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×21242410320³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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, 17316 + ... + 206844.

It is an arithmetic number, because the mean of its divisors is an integer number (824910372).

Almost surely, 2^21242410320 is an apocalyptic number.

21242410320 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 21242410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32996414880).

21242410320 is an abundant number, since it is smaller than the sum of its proper divisors (44750419440).

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

21242410320 is a wasteful number, since it uses less digits than its factorization.

21242410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190012 (or 190006 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21242410320 its reverse (2301424212), we get a palindrome (23543834532).

The spelling of 21242410320 in words is "twenty-one billion, two hundred forty-two million, four hundred ten thousand, three hundred twenty".