242702956800 has 324 divisors, whose sum is σ = 899861311440. Its totient is φ = 64720373760.

The previous prime is 242702956781. The next prime is 242702956841. The reversal of 242702956800 is 8659207242.

It is a tau number, because it is divible by the number of its divisors (324).

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1477171 + ... + 1633229.

Almost surely, 2^242702956800 is an apocalyptic number.

242702956800 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 242702956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449930655720).

242702956800 is an abundant number, since it is smaller than the sum of its proper divisors (657158354640).

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

242702956800 is an equidigital number, since it uses as much as digits as its factorization.

242702956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156100 (or 156069 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 242702956800 in words is "two hundred forty-two billion, seven hundred two million, nine hundred fifty-six thousand, eight hundred".