242240400024 has 64 divisors (see below), whose sum is σ = 692152170240. Its totient is φ = 69207868800.

The previous prime is 242240399963. The next prime is 242240400067. The reversal of 242240400024 is 420004042242.

It is a super-2 number, since 2×242240400024² (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 = 242240399967 and 242240400003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5605299 + ... + 5648349.

It is an arithmetic number, because the mean of its divisors is an integer number (10814877660).

Almost surely, 2^242240400024 is an apocalyptic number.

242240400024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242240400024 is an abundant number, since it is smaller than the sum of its proper divisors (449911770216).

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

242240400024 is a wasteful number, since it uses less digits than its factorization.

242240400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76560 (or 76556 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 242240400024 its reverse (420004042242), we get a palindrome (662244442266).

The spelling of 242240400024 in words is "two hundred forty-two billion, two hundred forty million, four hundred thousand, twenty-four".