242299537920 has 1680 divisors, whose sum is σ = 1017193411080. Its totient is φ = 55180984320.

The previous prime is 242299537873. The next prime is 242299537927. The reversal of 242299537920 is 29735992242.

242299537920 is a `hidden beast` number, since 24 + 229 + 9 + 5 + 379 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230353922304 + 11945615616 = 479952^2 + 109296^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242299537927) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6548636142 + ... + 6548636178.

Almost surely, 2^242299537920 is an apocalyptic number.

242299537920 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 242299537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508596705540).

242299537920 is an abundant number, since it is smaller than the sum of its proper divisors (774893873160).

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

242299537920 is an equidigital number, since it uses as much as digits as its factorization.

242299537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 242299537920 in words is "two hundred forty-two billion, two hundred ninety-nine million, five hundred thirty-seven thousand, nine hundred twenty".