242071600 has 60 divisors (see below), whose sum is σ = 583119424. Its totient is φ = 96572160.

The previous prime is 242071579. The next prime is 242071637. The reversal of 242071600 is 6170242.

242071600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242302 + ... + 243298.

Almost surely, 2^242071600 is an apocalyptic number.

242071600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291559712).

242071600 is an abundant number, since it is smaller than the sum of its proper divisors (341047824).

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

242071600 is a wasteful number, since it uses less digits than its factorization.

242071600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 242071600 is about 15558.6503270689. The cubic root of 242071600 is about 623.2294208155.

The spelling of 242071600 in words is "two hundred forty-two million, seventy-one thousand, six hundred".