242462045700 has 432 divisors, whose sum is σ = 916311352320. Its totient is φ = 52385667840.

The previous prime is 242462045669. The next prime is 242462045717. The reversal of 242462045700 is 7540264242.

242462045700 is a `hidden beast` number, since 2 + 4 + 24 + 62 + 0 + 4 + 570 + 0 = 666.

242462045700 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60207087 + ... + 60211113.

Almost surely, 2^242462045700 is an apocalyptic number.

242462045700 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 242462045700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458155676160).

242462045700 is an abundant number, since it is smaller than the sum of its proper divisors (673849306620).

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

242462045700 is a wasteful number, since it uses less digits than its factorization.

242462045700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 242462045700 in words is "two hundred forty-two billion, four hundred sixty-two million, forty-five thousand, seven hundred".