242554254250000 has 1120 divisors, whose sum is σ = 755739946404864. Its totient is φ = 73228320000000.

The previous prime is 242554254249997. The next prime is 242554254250013. The reversal of 242554254250000 is 52452455242.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 78674748459 + ... + 78674751541.

Almost surely, 2^{242554254250000} is an apocalyptic number.

242554254250000 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 242554254250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377869973202432).

242554254250000 is an abundant number, since it is smaller than the sum of its proper divisors (513185692154864).

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

242554254250000 is an equidigital number, since it uses as much as digits as its factorization.

242554254250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

The spelling of 242554254250000 in words is "two hundred forty-two trillion, five hundred fifty-four billion, two hundred fifty-four million, two hundred fifty thousand".