242304012024 has 64 divisors (see below), whose sum is σ = 611880048000. Its totient is φ = 79952323200.

The previous prime is 242304012001. The next prime is 242304012029. The reversal of 242304012024 is 420210403242.

It is a super-2 number, since 2×242304012024² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242304011985 and 242304012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242304012029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23893147 + ... + 23903285.

It is an arithmetic number, because the mean of its divisors is an integer number (9560625750).

Almost surely, 2^242304012024 is an apocalyptic number.

242304012024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242304012024 is an abundant number, since it is smaller than the sum of its proper divisors (369576035976).

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

242304012024 is a wasteful number, since it uses less digits than its factorization.

242304012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20108 (or 20104 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242304012024 its reverse (420210403242), we get a palindrome (662514415266).

The spelling of 242304012024 in words is "two hundred forty-two billion, three hundred four million, twelve thousand, twenty-four".