242604672 has 64 divisors (see below), whose sum is σ = 650237760. Its totient is φ = 80138240.

The previous prime is 242604653. The next prime is 242604683. The reversal of 242604672 is 276406242.

242604672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40597 + ... + 46187.

It is an arithmetic number, because the mean of its divisors is an integer number (10159965).

Almost surely, 2^242604672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325118880).

242604672 is an abundant number, since it is smaller than the sum of its proper divisors (407633088).

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

242604672 is a wasteful number, since it uses less digits than its factorization.

242604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 242604672 is about 15575.7719551873. The cubic root of 242604672 is about 623.6865618485.

The spelling of 242604672 in words is "two hundred forty-two million, six hundred four thousand, six hundred seventy-two".