242425779552 has 384 divisors, whose sum is σ = 795954055680. Its totient is φ = 71138580480.

The previous prime is 242425779551. The next prime is 242425779569. The reversal of 242425779552 is 255977524242.

It is a happy number.

242425779552 is a `hidden beast` number, since 2 + 42 + 42 + 5 + 7 + 7 + 9 + 552 = 666.

242425779552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×242425779552³ (a number of 35 digits) contains 333 as substring.

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 (242425779551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79822578 + ... + 79825614.

It is an arithmetic number, because the mean of its divisors is an integer number (2072797020).

Almost surely, 2^242425779552 is an apocalyptic number.

242425779552 is a gapful number since it is divisible by the number (22) 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 242425779552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397977027840).

242425779552 is an abundant number, since it is smaller than the sum of its proper divisors (553528276128).

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

242425779552 is a wasteful number, since it uses less digits than its factorization.

242425779552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3317 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 242425779552 in words is "two hundred forty-two billion, four hundred twenty-five million, seven hundred seventy-nine thousand, five hundred fifty-two".