242413031000 has 256 divisors, whose sum is σ = 679990671360. Its totient is φ = 79085529600.

The previous prime is 242413030999. The next prime is 242413031011. The reversal of 242413031000 is 130314242.

It is a super-2 number, since 2×242413031000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31713179 + ... + 31720821.

It is an arithmetic number, because the mean of its divisors is an integer number (2656213560).

Almost surely, 2^242413031000 is an apocalyptic number.

242413031000 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 242413031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339995335680).

242413031000 is an abundant number, since it is smaller than the sum of its proper divisors (437577640360).

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

242413031000 is a wasteful number, since it uses less digits than its factorization.

242413031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7891 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 242413031000 its reverse (130314242), we get a palindrome (242543345242).

The spelling of 242413031000 in words is "two hundred forty-two billion, four hundred thirteen million, thirty-one thousand".