242104241400 has 96 divisors (see below), whose sum is σ = 857740755840. Its totient is φ = 55338111360.

The previous prime is 242104241399. The next prime is 242104241413. The reversal of 242104241400 is 4142401242.

242104241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242104241400² (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 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 23 ways as a sum of consecutive naturals, for example, 28817734 + ... + 28826133.

It is an arithmetic number, because the mean of its divisors is an integer number (8934799540).

Almost surely, 2^242104241400 is an apocalyptic number.

242104241400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242104241400 is an abundant number, since it is smaller than the sum of its proper divisors (615636514440).

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

242104241400 is a wasteful number, since it uses less digits than its factorization.

242104241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57643893 (or 57643884 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 242104241400 its reverse (4142401242), we get a palindrome (246246642642).

The spelling of 242104241400 in words is "two hundred forty-two billion, one hundred four million, two hundred forty-one thousand, four hundred".