242030134080 has 896 divisors, whose sum is σ = 1014624092160. Its totient is φ = 53147197440.

The previous prime is 242030134069. The next prime is 242030134091. The reversal of 242030134080 is 80431030242.

242030134080 is a `hidden beast` number, since 2 + 420 + 30 + 134 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (242030134069) and next prime (242030134091).

It is a super-3 number, since 3×242030134080³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313104574 + ... + 313105346.

It is an arithmetic number, because the mean of its divisors is an integer number (1132392960).

Almost surely, 2^242030134080 is an apocalyptic number.

242030134080 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 242030134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507312046080).

242030134080 is an abundant number, since it is smaller than the sum of its proper divisors (772593958080).

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

242030134080 is a wasteful number, since it uses less digits than its factorization.

242030134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 242030134080 in words is "two hundred forty-two billion, thirty million, one hundred thirty-four thousand, eighty".