242759853460 has 96 divisors (see below), whose sum is σ = 543992537088. Its totient is φ = 90681661440.

The previous prime is 242759853449. The next prime is 242759853463. The reversal of 242759853460 is 64358957242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242759853463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28734957 + ... + 28743403.

It is an arithmetic number, because the mean of its divisors is an integer number (5666588928).

Almost surely, 2^242759853460 is an apocalyptic number.

242759853460 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 242759853460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271996268544).

242759853460 is an abundant number, since it is smaller than the sum of its proper divisors (301232683628).

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

242759853460 is a wasteful number, since it uses less digits than its factorization.

242759853460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9121 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 242759853460 in words is "two hundred forty-two billion, seven hundred fifty-nine million, eight hundred fifty-three thousand, four hundred sixty".