242272002 has 64 divisors (see below), whose sum is σ = 585861120. Its totient is φ = 65245824.

The previous prime is 242272001. The next prime is 242272007. The reversal of 242272002 is 200272242.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 242272002.

It is not an unprimeable number, because it can be changed into a prime (242272001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185283 + ... + 186585.

It is an arithmetic number, because the mean of its divisors is an integer number (9154080).

Almost surely, 2^242272002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242272002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292930560).

242272002 is an abundant number, since it is smaller than the sum of its proper divisors (343589118).

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

242272002 is a wasteful number, since it uses less digits than its factorization.

242272002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567.

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 242272002 is about 15565.0892062975. The cubic root of 242272002 is about 623.4013561335.

The spelling of 242272002 in words is "two hundred forty-two million, two hundred seventy-two thousand, two".