242363244240 has 240 divisors, whose sum is σ = 897927685200. Its totient is φ = 58203463680.

The previous prime is 242363244209. The next prime is 242363244271. The reversal of 242363244240 is 42442363242.

242363244240 is a `hidden beast` number, since 24 + 236 + 324 + 42 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (242363244209) and next prime (242363244271).

It can be written as a sum of positive squares in 8 ways, for example, as 82164782736 + 160198461504 = 286644^2 + 400248^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 242363244195 and 242363244204.

It is a congruent number.

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, 67986 + ... + 699534.

It is an arithmetic number, because the mean of its divisors is an integer number (3741365355).

Almost surely, 2^242363244240 is an apocalyptic number.

242363244240 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 242363244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448963842600).

242363244240 is an abundant number, since it is smaller than the sum of its proper divisors (655564440960).

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

242363244240 is a wasteful number, since it uses less digits than its factorization.

242363244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631622 (or 631613 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 242363244240 in words is "two hundred forty-two billion, three hundred sixty-three million, two hundred forty-four thousand, two hundred forty".