242612776560 has 640 divisors, whose sum is σ = 957127311360. Its totient is φ = 49377484800.

The previous prime is 242612776541. The next prime is 242612776561. The reversal of 242612776560 is 65677216242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242612776561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234861804 + ... + 234862836.

It is an arithmetic number, because the mean of its divisors is an integer number (1495511424).

Almost surely, 2^242612776560 is an apocalyptic number.

242612776560 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 242612776560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478563655680).

242612776560 is an abundant number, since it is smaller than the sum of its proper divisors (714514534800).

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

242612776560 is a wasteful number, since it uses less digits than its factorization.

242612776560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 242612776560 in words is "two hundred forty-two billion, six hundred twelve million, seven hundred seventy-six thousand, five hundred sixty".