242381753600 has 486 divisors, whose sum is σ = 736888691574. Its totient is φ = 78691737600.

The previous prime is 242381753557. The next prime is 242381753633. The reversal of 242381753600 is 6357183242.

It can be written as a sum of positive squares in 3 ways, for example, as 63053218816 + 179328534784 = 251104^2 + 423472^2 .

It is a super-2 number, since 2×242381753600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 113208530 + ... + 113210670.

Almost surely, 2^242381753600 is an apocalyptic number.

242381753600 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 242381753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368444345787).

242381753600 is an abundant number, since it is smaller than the sum of its proper divisors (494506937974).

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

242381753600 is a wasteful number, since it uses less digits than its factorization.

242381753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 242381753600 in words is "two hundred forty-two billion, three hundred eighty-one million, seven hundred fifty-three thousand, six hundred".