21042210024 has 256 divisors, whose sum is σ = 64833350400. Its totient is φ = 6270566400.

The previous prime is 21042209987. The next prime is 21042210029. The reversal of 21042210024 is 42001224012.

21042210024 is a `hidden beast` number, since 210 + 422 + 10 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21042209979 and 21042210006.

It is not an unprimeable number, because it can be changed into a prime (21042210029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48596112 + ... + 48596544.

It is an arithmetic number, because the mean of its divisors is an integer number (253255275).

Almost surely, 2^21042210024 is an apocalyptic number.

21042210024 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 21042210024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32416675200).

21042210024 is an abundant number, since it is smaller than the sum of its proper divisors (43791140376).

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

21042210024 is a wasteful number, since it uses less digits than its factorization.

21042210024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21042210024 its reverse (42001224012), we get a palindrome (63043434036).

The spelling of 21042210024 in words is "twenty-one billion, forty-two million, two hundred ten thousand, twenty-four".