242496240637200 has 480 divisors, whose sum is σ = 850300390577664. Its totient is φ = 58586880000000.

The previous prime is 242496240637181. The next prime is 242496240637201. The reversal of 242496240637200 is 2736042694242.

It is not an unprimeable number, because it can be changed into a prime (242496240637201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13286728075 + ... + 13286746325.

Almost surely, 2^{242496240637200} is an apocalyptic number.

242496240637200 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 242496240637200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425150195288832).

242496240637200 is an abundant number, since it is smaller than the sum of its proper divisors (607804149940464).

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

242496240637200 is a wasteful number, since it uses less digits than its factorization.

242496240637200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21655 (or 21644 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 242496240637200 in words is "two hundred forty-two trillion, four hundred ninety-six billion, two hundred forty million, six hundred thirty-seven thousand, two hundred".