242651306880 has 128 divisors (see below), whose sum is σ = 859390106400. Its totient is φ = 64707010560.

The previous prime is 242651306857. The next prime is 242651306881. The reversal of 242651306880 is 88603156242.

242651306880 is a `hidden beast` number, since 2 + 4 + 265 + 1 + 306 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242651306881) 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, 7003881 + ... + 7038440.

Almost surely, 2^242651306880 is an apocalyptic number.

242651306880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242651306880 is an abundant number, since it is smaller than the sum of its proper divisors (616738799520).

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

242651306880 is a wasteful number, since it uses less digits than its factorization.

242651306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14042349 (or 14042331 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 242651306880 in words is "two hundred forty-two billion, six hundred fifty-one million, three hundred six thousand, eight hundred eighty".