242500214000 has 160 divisors (see below), whose sum is σ = 644965094592. Its totient is φ = 88180928000.

The previous prime is 242500213981. The next prime is 242500214017. The reversal of 242500214000 is 412005242.

It is a happy number.

242500214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2616452 + ... + 2707548.

Almost surely, 2^242500214000 is an apocalyptic number.

242500214000 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 242500214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322482547296).

242500214000 is an abundant number, since it is smaller than the sum of its proper divisors (402464880592).

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

242500214000 is an equidigital number, since it uses as much as digits as its factorization.

242500214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91153 (or 91115 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 242500214000 its reverse (412005242), we get a palindrome (242912219242).

The spelling of 242500214000 in words is "two hundred forty-two billion, five hundred million, two hundred fourteen thousand".