242005010004 has 18 divisors (see below), whose sum is σ = 611734886490. Its totient is φ = 80668336656.

The previous prime is 242005009973. The next prime is 242005010047. The reversal of 242005010004 is 400010500242.

242005010004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 238874607504 + 3130402500 = 488748^2 + 55950^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×242005010004² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 3361180659 + ... + 3361180730.

Almost surely, 2^242005010004 is an apocalyptic number.

It is an amenable number.

242005010004 is an abundant number, since it is smaller than the sum of its proper divisors (369729876486).

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

242005010004 is a wasteful number, since it uses less digits than its factorization.

242005010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722361399 (or 6722361394 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 242005010004 its reverse (400010500242), we get a palindrome (642015510246).

The spelling of 242005010004 in words is "two hundred forty-two billion, five million, ten thousand, four".