242520011052000 has 1152 divisors, whose sum is σ = 930335154577920. Its totient is φ = 55026791424000.

The previous prime is 242520011051993. The next prime is 242520011052043. The reversal of 242520011052000 is 250110025242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2289751044 + ... + 2289856956.

It is an arithmetic number, because the mean of its divisors is an integer number (807582599460).

Almost surely, 2^{242520011052000} is an apocalyptic number.

242520011052000 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 242520011052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465167577288960).

242520011052000 is an abundant number, since it is smaller than the sum of its proper divisors (687815143525920).

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

242520011052000 is a wasteful number, since it uses less digits than its factorization.

242520011052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106065 (or 106036 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 242520011052000 its reverse (250110025242), we get a palindrome (242770121077242).

The spelling of 242520011052000 in words is "two hundred forty-two trillion, five hundred twenty billion, eleven million, fifty-two thousand".