242081700 has 144 divisors (see below), whose sum is σ = 847695744. Its totient is φ = 52070400.

The previous prime is 242081689. The next prime is 242081711. The reversal of 242081700 is 7180242.

It is an interprime number because it is at equal distance from previous prime (242081689) and next prime (242081711).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32310 + ... + 39090.

It is an arithmetic number, because the mean of its divisors is an integer number (5886776).

Almost surely, 2^242081700 is an apocalyptic number.

242081700 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 242081700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423847872).

242081700 is an abundant number, since it is smaller than the sum of its proper divisors (605614044).

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

242081700 is a wasteful number, since it uses less digits than its factorization.

242081700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 242081700 is about 15558.9749019657. The cubic root of 242081700 is about 623.2380884021.

The spelling of 242081700 in words is "two hundred forty-two million, eighty-one thousand, seven hundred".