242310003540 has 192 divisors, whose sum is σ = 796534518528. Its totient is φ = 54379929600.

The previous prime is 242310003503. The next prime is 242310003547. The reversal of 242310003540 is 45300013242.

It is a self number, because there is not a number n which added to its sum of digits gives 242310003540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242310003547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 507402 + ... + 861438.

It is an arithmetic number, because the mean of its divisors is an integer number (4148617284).

Almost surely, 2^242310003540 is an apocalyptic number.

242310003540 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 242310003540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398267259264).

242310003540 is an abundant number, since it is smaller than the sum of its proper divisors (554224514988).

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

242310003540 is a wasteful number, since it uses less digits than its factorization.

242310003540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354138 (or 354136 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 242310003540 its reverse (45300013242), we get a palindrome (287610016782).

The spelling of 242310003540 in words is "two hundred forty-two billion, three hundred ten million, three thousand, five hundred forty".