242594352000 has 3840 divisors, whose sum is σ = 1290601952640. Its totient is φ = 43794432000.

The previous prime is 242594351969. The next prime is 242594352001. The reversal of 242594352000 is 253495242.

242594352000 is a `hidden beast` number, since 2 + 42 + 5 + 94 + 3 + 520 + 0 + 0 = 666.

242594352000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242594352001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14270255992 + ... + 14270256008.

Almost surely, 2^242594352000 is an apocalyptic number.

242594352000 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 242594352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645300976320).

242594352000 is an abundant number, since it is smaller than the sum of its proper divisors (1048007600640).

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

242594352000 is a wasteful number, since it uses less digits than its factorization.

242594352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 242594352000 in words is "two hundred forty-two billion, five hundred ninety-four million, three hundred fifty-two thousand".