242093592048 has 720 divisors, whose sum is σ = 832533047808. Its totient is φ = 60354201600.

The previous prime is 242093591953. The next prime is 242093592049. The reversal of 242093592048 is 840295390242.

242093592048 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 242093591988 and 242093592006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242093592049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 893334153 + ... + 893334423.

Almost surely, 2^242093592048 is an apocalyptic number.

242093592048 is a gapful number since it is divisible by the number (28) 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 242093592048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416266523904).

242093592048 is an abundant number, since it is smaller than the sum of its proper divisors (590439455760).

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

242093592048 is a wasteful number, since it uses less digits than its factorization.

242093592048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 242093592048 in words is "two hundred forty-two billion, ninety-three million, five hundred ninety-two thousand, forty-eight".