242781870240 has 960 divisors, whose sum is σ = 1062848666880. Its totient is φ = 50821447680.

The previous prime is 242781870203. The next prime is 242781870251. The reversal of 242781870240 is 42078187242.

242781870240 is a `hidden beast` number, since 2 + 427 + 8 + 187 + 0 + 2 + 40 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 163930300 + ... + 163931780.

It is an arithmetic number, because the mean of its divisors is an integer number (1107134028).

Almost surely, 2^242781870240 is an apocalyptic number.

242781870240 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 242781870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531424333440).

242781870240 is an abundant number, since it is smaller than the sum of its proper divisors (820066796640).

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

242781870240 is a wasteful number, since it uses less digits than its factorization.

242781870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 242781870240 in words is "two hundred forty-two billion, seven hundred eighty-one million, eight hundred seventy thousand, two hundred forty".