242876620800 has 1050 divisors, whose sum is σ = 989694654465. Its totient is φ = 58879180800.

The previous prime is 242876620757. The next prime is 242876620813. The reversal of 242876620800 is 8026678242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 238019088384 + 4857532416 = 487872^2 + 69696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=348480.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 22079692795 + ... + 22079692805.

Almost surely, 2^242876620800 is an apocalyptic number.

242876620800 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 242876620800

242876620800 is an abundant number, since it is smaller than the sum of its proper divisors (746818033665).

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

242876620800 is an frugal number, since it uses more digits than its factorization.

242876620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 242876620800 in words is "two hundred forty-two billion, eight hundred seventy-six million, six hundred twenty thousand, eight hundred".