242304033340 has 96 divisors (see below), whose sum is σ = 553291683840. Its totient is φ = 88795180800.

The previous prime is 242304033319. The next prime is 242304033401. The reversal of 242304033340 is 43330403242.

It is a super-2 number, since 2×242304033340² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242304033299 and 242304033308.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18499834 + ... + 18512926.

It is an arithmetic number, because the mean of its divisors is an integer number (5763455040).

Almost surely, 2^242304033340 is an apocalyptic number.

242304033340 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 242304033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276645841920).

242304033340 is an abundant number, since it is smaller than the sum of its proper divisors (310987650500).

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

242304033340 is a wasteful number, since it uses less digits than its factorization.

242304033340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14723 (or 14721 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 242304033340 its reverse (43330403242), we get a palindrome (285634436582).

The spelling of 242304033340 in words is "two hundred forty-two billion, three hundred four million, thirty-three thousand, three hundred forty".