242201313240 has 256 divisors, whose sum is σ = 777351168000. Its totient is φ = 60223747584.

The previous prime is 242201313131. The next prime is 242201313251. The reversal of 242201313240 is 42313102242.

It is a happy number.

It is a super-2 number, since 2×242201313240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242201313240.

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, 71087617 + ... + 71091023.

It is an arithmetic number, because the mean of its divisors is an integer number (3036528000).

Almost surely, 2^242201313240 is an apocalyptic number.

242201313240 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 242201313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388675584000).

242201313240 is an abundant number, since it is smaller than the sum of its proper divisors (535149854760).

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

242201313240 is a wasteful number, since it uses less digits than its factorization.

242201313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242201313240 its reverse (42313102242), we get a palindrome (284514415482).

The spelling of 242201313240 in words is "two hundred forty-two billion, two hundred one million, three hundred thirteen thousand, two hundred forty".