242036640972 has 192 divisors, whose sum is σ = 743430912000. Its totient is φ = 66628687104.

The previous prime is 242036640961. The next prime is 242036640977. The reversal of 242036640972 is 279046630242.

242036640972 is a `hidden beast` number, since 242 + 0 + 366 + 40 + 9 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (242036640977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10665654 + ... + 10688322.

It is an arithmetic number, because the mean of its divisors is an integer number (3872036000).

Almost surely, 2^242036640972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242036640972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371715456000).

242036640972 is an abundant number, since it is smaller than the sum of its proper divisors (501394271028).

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

242036640972 is a wasteful number, since it uses less digits than its factorization.

242036640972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23205 (or 23197 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 242036640972 in words is "two hundred forty-two billion, thirty-six million, six hundred forty thousand, nine hundred seventy-two".