242497880064 has 312 divisors, whose sum is σ = 774704714472. Its totient is φ = 72477573120.

The previous prime is 242497879993. The next prime is 242497880071. The reversal of 242497880064 is 460088794242.

242497880064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3321888732 + ... + 3321888804.

It is an arithmetic number, because the mean of its divisors is an integer number (2483027931).

Almost surely, 2^242497880064 is an apocalyptic number.

242497880064 is a gapful number since it is divisible by the number (24) 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 242497880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387352357236).

242497880064 is an abundant number, since it is smaller than the sum of its proper divisors (532206834408).

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

242497880064 is an frugal number, since it uses more digits than its factorization.

242497880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 242497880064 in words is "two hundred forty-two billion, four hundred ninety-seven million, eight hundred eighty thousand, sixty-four".