242608988160 has 2016 divisors, whose sum is σ = 1132699649760. Its totient is φ = 49049763840.

The previous prime is 242608988137. The next prime is 242608988189. The reversal of 242608988160 is 61889806242.

242608988160 is a `hidden beast` number, since 2 + 426 + 0 + 89 + 8 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×242608988160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 242608988097 and 242608988106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6556999662 + ... + 6556999698.

It is an arithmetic number, because the mean of its divisors is an integer number (561854985).

Almost surely, 2^242608988160 is an apocalyptic number.

242608988160 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 242608988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566349824880).

242608988160 is an abundant number, since it is smaller than the sum of its proper divisors (890090661600).

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

242608988160 is a wasteful number, since it uses less digits than its factorization.

242608988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 242608988160 in words is "two hundred forty-two billion, six hundred eight million, nine hundred eighty-eight thousand, one hundred sixty".