242967982320 has 960 divisors, whose sum is σ = 993656401920. Its totient is φ = 54034366464.

The previous prime is 242967982273. The next prime is 242967982321. The reversal of 242967982320 is 23289769242.

242967982320 is a `hidden beast` number, since 24 + 296 + 7 + 9 + 8 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242967982321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1042780924 + ... + 1042781156.

It is an arithmetic number, because the mean of its divisors is an integer number (1035058752).

Almost surely, 2^242967982320 is an apocalyptic number.

242967982320 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 242967982320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496828200960).

242967982320 is an abundant number, since it is smaller than the sum of its proper divisors (750688419600).

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

242967982320 is a wasteful number, since it uses less digits than its factorization.

242967982320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 426 counting only the distinct ones).

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

The spelling of 242967982320 in words is "two hundred forty-two billion, nine hundred sixty-seven million, nine hundred eighty-two thousand, three hundred twenty".