242787874560 has 864 divisors, whose sum is σ = 1031593522176. Its totient is φ = 47471001600.

The previous prime is 242787874547. The next prime is 242787874561. The reversal of 242787874560 is 65478787242.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 242787874494 and 242787874503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242787874561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55289965 + ... + 55294355.

It is an arithmetic number, because the mean of its divisors is an integer number (1193973984).

Almost surely, 2^242787874560 is an apocalyptic number.

242787874560 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 242787874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515796761088).

242787874560 is an abundant number, since it is smaller than the sum of its proper divisors (788805647616).

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

242787874560 is a wasteful number, since it uses less digits than its factorization.

242787874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 60.

The spelling of 242787874560 in words is "two hundred forty-two billion, seven hundred eighty-seven million, eight hundred seventy-four thousand, five hundred sixty".