242265900240 has 1600 divisors, whose sum is σ = 1108289064960. Its totient is φ = 47656304640.

The previous prime is 242265900199. The next prime is 242265900251. The reversal of 242265900240 is 42009562242.

It is a happy number.

242265900240 is a `hidden beast` number, since 2 + 4 + 2 + 26 + 590 + 0 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242265900195 and 242265900204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 530122092 + ... + 530122548.

Almost surely, 2^242265900240 is an apocalyptic number.

242265900240 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 242265900240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554144532480).

242265900240 is an abundant number, since it is smaller than the sum of its proper divisors (866023164720).

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

242265900240 is a wasteful number, since it uses less digits than its factorization.

242265900240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 242265900240 in words is "two hundred forty-two billion, two hundred sixty-five million, nine hundred thousand, two hundred forty".