242783696160 has 144 divisors (see below), whose sum is σ = 829783071936. Its totient is φ = 64642005504.

The previous prime is 242783696143. The next prime is 242783696237. The reversal of 242783696160 is 61696387242.

242783696160 is a `hidden beast` number, since 2 + 4 + 278 + 369 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×242783696160² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242783696097 and 242783696106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801387 + ... + 1061973.

It is an arithmetic number, because the mean of its divisors is an integer number (5762382444).

Almost surely, 2^242783696160 is an apocalyptic number.

242783696160 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 242783696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414891535968).

242783696160 is an abundant number, since it is smaller than the sum of its proper divisors (586999375776).

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

242783696160 is a wasteful number, since it uses less digits than its factorization.

242783696160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261255 (or 261244 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 242783696160 in words is "two hundred forty-two billion, seven hundred eighty-three million, six hundred ninety-six thousand, one hundred sixty".