242144652960 has 480 divisors, whose sum is σ = 1003059953280. Its totient is φ = 53850728448.

The previous prime is 242144652943. The next prime is 242144652973. The reversal of 242144652960 is 69256441242.

It is a happy number.

242144652960 is a `hidden beast` number, since 2 + 4 + 21 + 4 + 46 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3320571 + ... + 3392709.

It is an arithmetic number, because the mean of its divisors is an integer number (2089708236).

Almost surely, 2^242144652960 is an apocalyptic number.

242144652960 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 242144652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501529976640).

242144652960 is an abundant number, since it is smaller than the sum of its proper divisors (760915300320).

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

242144652960 is a wasteful number, since it uses less digits than its factorization.

242144652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72210 (or 72193 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 242144652960 in words is "two hundred forty-two billion, one hundred forty-four million, six hundred fifty-two thousand, nine hundred sixty".