242014000350 has 192 divisors, whose sum is σ = 622616150016. Its totient is φ = 62177633280.

The previous prime is 242014000301. The next prime is 242014000351. The reversal of 242014000350 is 53000410242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242014000351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122661964 + ... + 122663936.

It is an arithmetic number, because the mean of its divisors is an integer number (3242792448).

Almost surely, 2^242014000350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242014000350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311308075008).

242014000350 is an abundant number, since it is smaller than the sum of its proper divisors (380602149666).

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

242014000350 is a wasteful number, since it uses less digits than its factorization.

242014000350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 242014000350 its reverse (53000410242), we get a palindrome (295014410592).

The spelling of 242014000350 in words is "two hundred forty-two billion, fourteen million, three hundred fifty", and thus it is an aban number.