242776216300 has 144 divisors (see below), whose sum is σ = 561496561920. Its totient is φ = 90797056000.

The previous prime is 242776216297. The next prime is 242776216301. The reversal of 242776216300 is 3612677242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (242776216301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228817770 + ... + 228818830.

It is an arithmetic number, because the mean of its divisors is an integer number (3899281680).

Almost surely, 2^242776216300 is an apocalyptic number.

242776216300 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 242776216300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280748280960).

242776216300 is an abundant number, since it is smaller than the sum of its proper divisors (318720345620).

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

242776216300 is a wasteful number, since it uses less digits than its factorization.

242776216300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 242776216300 in words is "two hundred forty-two billion, seven hundred seventy-six million, two hundred sixteen thousand, three hundred".