242990312832 has 256 divisors, whose sum is σ = 734106240000. Its totient is φ = 79090771968.

The previous prime is 242990312809. The next prime is 242990312839. The reversal of 242990312832 is 238213099242.

242990312832 is a `hidden beast` number, since 242 + 9 + 90 + 312 + 8 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242990312839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82676419 + ... + 82679357.

It is an arithmetic number, because the mean of its divisors is an integer number (2867602500).

Almost surely, 2^242990312832 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 242990312832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367053120000).

242990312832 is an abundant number, since it is smaller than the sum of its proper divisors (491115927168).

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

242990312832 is a wasteful number, since it uses less digits than its factorization.

242990312832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 242990312832 in words is "two hundred forty-two billion, nine hundred ninety million, three hundred twelve thousand, eight hundred thirty-two".