242312554350240 has 96 divisors (see below), whose sum is σ = 832674050421696. Its totient is φ = 58742437416960.

The previous prime is 242312554350233. The next prime is 242312554350241. The reversal of 242312554350240 is 42053455213242.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 242312554350192 and 242312554350201.

It is not an unprimeable number, because it can be changed into a prime (242312554350241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22946259337 + ... + 22946269896.

It is an arithmetic number, because the mean of its divisors is an integer number (8673688025226).

Almost surely, 2^{242312554350240} is an apocalyptic number.

242312554350240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242312554350240 is an abundant number, since it is smaller than the sum of its proper divisors (590361496071456).

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

242312554350240 is a wasteful number, since it uses less digits than its factorization.

242312554350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45892529262 (or 45892529254 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 242312554350240 in words is "two hundred forty-two trillion, three hundred twelve billion, five hundred fifty-four million, three hundred fifty thousand, two hundred forty".