242988629760 has 576 divisors, whose sum is σ = 888109824000. Its totient is φ = 62884823040.

The previous prime is 242988629707. The next prime is 242988629761. The reversal of 242988629760 is 67926889242.

242988629760 is a `hidden beast` number, since 2 + 429 + 8 + 8 + 62 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242988629761) 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, 166543911 + ... + 166545369.

Almost surely, 2^242988629760 is an apocalyptic number.

242988629760 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 242988629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444054912000).

242988629760 is an abundant number, since it is smaller than the sum of its proper divisors (645121194240).

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

242988629760 is a wasteful number, since it uses less digits than its factorization.

242988629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 242988629760 in words is "two hundred forty-two billion, nine hundred eighty-eight million, six hundred twenty-nine thousand, seven hundred sixty".