242519200 has 288 divisors, whose sum is σ = 767950848. Its totient is φ = 72576000.

The previous prime is 242519197. The next prime is 242519209. The reversal of 242519200 is 2915242.

242519200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (242519209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909537 + ... + 1909663.

It is an arithmetic number, because the mean of its divisors is an integer number (2666496).

Almost surely, 2^242519200 is an apocalyptic number.

242519200 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 242519200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383975424).

242519200 is an abundant number, since it is smaller than the sum of its proper divisors (525431648).

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

242519200 is a wasteful number, since it uses less digits than its factorization.

242519200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 242519200 is about 15573.0279650426. The cubic root of 242519200 is about 623.6133096191.

The spelling of 242519200 in words is "two hundred forty-two million, five hundred nineteen thousand, two hundred".