242014000 has 40 divisors (see below), whose sum is σ = 585194688. Its totient is φ = 96804800.

The previous prime is 242013997. The next prime is 242014009. The reversal of 242014000 is 410242.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (242014009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58504 + ... + 62503.

Almost surely, 2^242014000 is an apocalyptic number.

242014000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242014000 is an abundant number, since it is smaller than the sum of its proper divisors (343180688).

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

242014000 is a wasteful number, since it uses less digits than its factorization.

242014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121030 (or 121014 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 242014000 is about 15556.7991566389. The cubic root of 242014000 is about 623.1799852184.

Adding to 242014000 its reverse (410242), we get a palindrome (242424242).

The spelling of 242014000 in words is "two hundred forty-two million, fourteen thousand".