242007567021 has 40 divisors (see below), whose sum is σ = 394771212000. Its totient is φ = 146526766560.

The previous prime is 242007567019. The next prime is 242007567047. The reversal of 242007567021 is 120765700242.

It is a happy number.

242007567021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242007567021 - 2¹ = 242007567019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242007567001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 774655 + ... + 1041203.

It is an arithmetic number, because the mean of its divisors is an integer number (9869280300).

Almost surely, 2^242007567021 is an apocalyptic number.

It is an amenable number.

242007567021 is a deficient number, since it is larger than the sum of its proper divisors (152763644979).

242007567021 is a wasteful number, since it uses less digits than its factorization.

242007567021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267591 (or 267582 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 242007567021 in words is "two hundred forty-two billion, seven million, five hundred sixty-seven thousand, twenty-one".