242905950000 has 720 divisors, whose sum is σ = 988294245120. Its totient is φ = 54538560000.

The previous prime is 242905949971. The next prime is 242905950043. The reversal of 242905950000 is 59509242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 185849347 + ... + 185850653.

It is an arithmetic number, because the mean of its divisors is an integer number (1372630896).

Almost surely, 2^242905950000 is an apocalyptic number.

242905950000 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 242905950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494147122560).

242905950000 is an abundant number, since it is smaller than the sum of its proper divisors (745388295120).

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

242905950000 is a wasteful number, since it uses less digits than its factorization.

242905950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 242905950000 in words is "two hundred forty-two billion, nine hundred five million, nine hundred fifty thousand".