242777347223340 has 96 divisors (see below), whose sum is σ = 687721563648000. Its totient is φ = 63984609925632.

The previous prime is 242777347223309. The next prime is 242777347223401. The reversal of 242777347223340 is 43322743777242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803531 + ... + 22108989.

It is an arithmetic number, because the mean of its divisors is an integer number (7163766288000).

Almost surely, 2^{242777347223340} is an apocalyptic number.

242777347223340 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 242777347223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343860781824000).

242777347223340 is an abundant number, since it is smaller than the sum of its proper divisors (444944216424660).

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

242777347223340 is a wasteful number, since it uses less digits than its factorization.

242777347223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20307799 (or 20307797 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 57.

The spelling of 242777347223340 in words is "two hundred forty-two trillion, seven hundred seventy-seven billion, three hundred forty-seven million, two hundred twenty-three thousand, three hundred forty".