242655510240 has 720 divisors, whose sum is σ = 1013794113024. Its totient is φ = 54295971840.

The previous prime is 242655510191. The next prime is 242655510257. The reversal of 242655510240 is 42015556242.

242655510240 is a `hidden beast` number, since 2 + 4 + 2 + 65 + 551 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 242655510195 and 242655510204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20380129 + ... + 20392031.

Almost surely, 2^242655510240 is an apocalyptic number.

242655510240 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 242655510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506897056512).

242655510240 is an abundant number, since it is smaller than the sum of its proper divisors (771138602784).

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

242655510240 is a wasteful number, since it uses less digits than its factorization.

242655510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11965 (or 11937 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 242655510240 in words is "two hundred forty-two billion, six hundred fifty-five million, five hundred ten thousand, two hundred forty".