21254241024 has 288 divisors, whose sum is σ = 66892271040. Its totient is φ = 6633750528.

The previous prime is 21254241017. The next prime is 21254241067. The reversal of 21254241024 is 42014245212.

It is a happy number.

21254241024 is a `hidden beast` number, since 2 + 12 + 542 + 4 + 102 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32548282 + ... + 32548934.

It is an arithmetic number, because the mean of its divisors is an integer number (232264830).

Almost surely, 2^21254241024 is an apocalyptic number.

21254241024 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 21254241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33446135520).

21254241024 is an abundant number, since it is smaller than the sum of its proper divisors (45638030016).

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

21254241024 is a wasteful number, since it uses less digits than its factorization.

21254241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 21254241024 its reverse (42014245212), we get a palindrome (63268486236).

The spelling of 21254241024 in words is "twenty-one billion, two hundred fifty-four million, two hundred forty-one thousand, twenty-four".