21004033024 has 88 divisors (see below), whose sum is σ = 45411925328. Its totient is φ = 9652469760.

The previous prime is 21004033007. The next prime is 21004033079. The reversal of 21004033024 is 42033040012.

It is a junction number, because it is equal to n+sod(n) for n = 21004032992 and 21004033010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3204919 + ... + 3211465.

It is an arithmetic number, because the mean of its divisors is an integer number (516044606).

Almost surely, 2^21004033024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21004033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22705962664).

21004033024 is an abundant number, since it is smaller than the sum of its proper divisors (24407892304).

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

21004033024 is a wasteful number, since it uses less digits than its factorization.

21004033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 21004033024 its reverse (42033040012), we get a palindrome (63037073036).

The spelling of 21004033024 in words is "twenty-one billion, four million, thirty-three thousand, twenty-four".