242074485120 has 256 divisors, whose sum is σ = 848651489280. Its totient is φ = 58319462400.

The previous prime is 242074485109. The next prime is 242074485137. The reversal of 242074485120 is 21584470242.

It is a super-2 number, since 2×242074485120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069945 + ... + 1276295.

It is an arithmetic number, because the mean of its divisors is an integer number (3315044880).

Almost surely, 2^242074485120 is an apocalyptic number.

242074485120 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 242074485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424325744640).

242074485120 is an abundant number, since it is smaller than the sum of its proper divisors (606577004160).

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

242074485120 is a wasteful number, since it uses less digits than its factorization.

242074485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206433 (or 206421 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 39.

The spelling of 242074485120 in words is "two hundred forty-two billion, seventy-four million, four hundred eighty-five thousand, one hundred twenty".