242048256255 has 72 divisors (see below), whose sum is σ = 467941725888. Its totient is φ = 115052942592.

The previous prime is 242048256239. The next prime is 242048256259. The reversal of 242048256255 is 552652840242.

242048256255 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 4 + 82 + 562 + 5 + 5 = 666.

It is a Cunningham number, because it is equal to 491984²-1.

It is not a de Polignac number, because 242048256255 - 2⁴ = 242048256239 is a prime.

It is a super-2 number, since 2×242048256255² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 242048256255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242048256259) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 245994 + ... + 737976.

Almost surely, 2^242048256255 is an apocalyptic number.

242048256255 is a deficient number, since it is larger than the sum of its proper divisors (225893469633).

242048256255 is a wasteful number, since it uses less digits than its factorization.

242048256255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492065 (or 492033 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 242048256255 in words is "two hundred forty-two billion, forty-eight million, two hundred fifty-six thousand, two hundred fifty-five".