21242041002 has 192 divisors, whose sum is σ = 60304608000. Its totient is φ = 5247120384.

The previous prime is 21242040997. The next prime is 21242041027. The reversal of 21242041002 is 20014024212.

21242041002 is a `hidden beast` number, since 212 + 42 + 0 + 410 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2766024 + ... + 2773692.

It is an arithmetic number, because the mean of its divisors is an integer number (314086500).

Almost surely, 2^21242041002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21242041002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30152304000).

21242041002 is an abundant number, since it is smaller than the sum of its proper divisors (39062566998).

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

21242041002 is a wasteful number, since it uses less digits than its factorization.

21242041002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7805 (or 7802 counting only the distinct ones).

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

Adding to 21242041002 its reverse (20014024212), we get a palindrome (41256065214).

The spelling of 21242041002 in words is "twenty-one billion, two hundred forty-two million, forty-one thousand, two".