242377340064 has 192 divisors, whose sum is σ = 678649466880. Its totient is φ = 75479777280.

The previous prime is 242377340059. The next prime is 242377340089. The reversal of 242377340064 is 460043773242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242377339998 and 242377340025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150637692 + ... + 150639300.

It is an arithmetic number, because the mean of its divisors is an integer number (3534632640).

Almost surely, 2^242377340064 is an apocalyptic number.

242377340064 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 242377340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339324733440).

242377340064 is an abundant number, since it is smaller than the sum of its proper divisors (436272126816).

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

242377340064 is a wasteful number, since it uses less digits than its factorization.

242377340064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

The spelling of 242377340064 in words is "two hundred forty-two billion, three hundred seventy-seven million, three hundred forty thousand, sixty-four".