242961604960760 has 48 divisors (see below), whose sum is σ = 635914812989160. Its totient is φ = 83301121700160.

The previous prime is 242961604960759. The next prime is 242961604960799. The reversal of 242961604960760 is 67069406169242.

242961604960760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242961604960760² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242961604960693 and 242961604960702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61979999306 + ... + 61980003225.

Almost surely, 2^{242961604960760} is an apocalyptic number.

242961604960760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242961604960760 is an abundant number, since it is smaller than the sum of its proper divisors (392953208028400).

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

242961604960760 is a wasteful number, since it uses less digits than its factorization.

242961604960760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123960002556 (or 123960002545 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 62.

The spelling of 242961604960760 in words is "two hundred forty-two trillion, nine hundred sixty-one billion, six hundred four million, nine hundred sixty thousand, seven hundred sixty".