242552534400 has 576 divisors, whose sum is σ = 975750829200. Its totient is φ = 58798080000.

The previous prime is 242552534377. The next prime is 242552534401. The reversal of 242552534400 is 4435255242.

242552534400 is a `hidden beast` number, since 242 + 5 + 5 + 2 + 5 + 3 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242552534401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10442800 + ... + 10466000.

Almost surely, 2^242552534400 is an apocalyptic number.

242552534400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242552534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487875414600).

242552534400 is an abundant number, since it is smaller than the sum of its proper divisors (733198294800).

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

242552534400 is a wasteful number, since it uses less digits than its factorization.

242552534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23256 (or 23222 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 242552534400 its reverse (4435255242), we get a palindrome (246987789642).

The spelling of 242552534400 in words is "two hundred forty-two billion, five hundred fifty-two million, five hundred thirty-four thousand, four hundred".