242776881600 has 336 divisors, whose sum is σ = 883659335040. Its totient is φ = 57856716800.

The previous prime is 242776881577. The next prime is 242776881653. The reversal of 242776881600 is 6188677242.

It is a super-2 number, since 2×242776881600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3076234 + ... + 3154166.

Almost surely, 2^242776881600 is an apocalyptic number.

242776881600 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 242776881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441829667520).

242776881600 is an abundant number, since it is smaller than the sum of its proper divisors (640882453440).

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

242776881600 is a wasteful number, since it uses less digits than its factorization.

242776881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78028 (or 78013 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 242776881600 in words is "two hundred forty-two billion, seven hundred seventy-six million, eight hundred eighty-one thousand, six hundred".