242002000 has 40 divisors (see below), whose sum is σ = 585165672. Its totient is φ = 96800000.

The previous prime is 242001983. The next prime is 242002001. The reversal of 242002000 is 200242.

It is a happy number.

242002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8156736 + 233845264 = 2856^2 + 15292^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242002001) 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, 58501 + ... + 62500.

Almost surely, 2^242002000 is an apocalyptic number.

242002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242002000 is an abundant number, since it is smaller than the sum of its proper divisors (343163672).

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

242002000 is a wasteful number, since it uses less digits than its factorization.

242002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121024 (or 121008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 242002000 is about 15556.4134684059. The cubic root of 242002000 is about 623.1696851484.

Adding to 242002000 its reverse (200242), we get a palindrome (242202242).

The spelling of 242002000 in words is "two hundred forty-two million, two thousand".