242684164800 has 1680 divisors, whose sum is σ = 1129402213632. Its totient is φ = 49650278400.

The previous prime is 242684164759. The next prime is 242684164817. The reversal of 242684164800 is 8461486242.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 828273454 + ... + 828273746.

Almost surely, 2^242684164800 is an apocalyptic number.

242684164800 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 242684164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564701106816).

242684164800 is an abundant number, since it is smaller than the sum of its proper divisors (886718048832).

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

242684164800 is a wasteful number, since it uses less digits than its factorization.

242684164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 242684164800 in words is "two hundred forty-two billion, six hundred eighty-four million, one hundred sixty-four thousand, eight hundred".