242410755840 has 288 divisors, whose sum is σ = 881305560576. Its totient is φ = 56210964480.

The previous prime is 242410755799. The next prime is 242410755871. The reversal of 242410755840 is 48557014242.

It is a junction number, because it is equal to n+sod(n) for n = 242410755792 and 242410755801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846762 + ... + 1096278.

It is an arithmetic number, because the mean of its divisors is an integer number (3060088752).

Almost surely, 2^242410755840 is an apocalyptic number.

242410755840 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 242410755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440652780288).

242410755840 is an abundant number, since it is smaller than the sum of its proper divisors (638894804736).

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

242410755840 is a wasteful number, since it uses less digits than its factorization.

242410755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249575 (or 249561 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 242410755840 in words is "two hundred forty-two billion, four hundred ten million, seven hundred fifty-five thousand, eight hundred forty".