242331503200 has 72 divisors (see below), whose sum is σ = 597019444560. Its totient is φ = 96043276800.

The previous prime is 242331503131. The next prime is 242331503207. The reversal of 242331503200 is 2305133242.

It is a super-2 number, since 2×242331503200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242331503207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1302316 + ... + 1476715.

It is an arithmetic number, because the mean of its divisors is an integer number (8291936730).

Almost surely, 2^242331503200 is an apocalyptic number.

242331503200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242331503200 is an abundant number, since it is smaller than the sum of its proper divisors (354687941360).

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

242331503200 is a wasteful number, since it uses less digits than its factorization.

242331503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779160 (or 2779147 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 242331503200 its reverse (2305133242), we get a palindrome (244636636442).

The spelling of 242331503200 in words is "two hundred forty-two billion, three hundred thirty-one million, five hundred three thousand, two hundred".