242735130 has 128 divisors (see below), whose sum is σ = 715564800. Its totient is φ = 58786560.

The previous prime is 242735099. The next prime is 242735137. The reversal of 242735130 is 31537242.

It is a super-2 number, since 2×242735130² = 117840686672233800, which contains 22 as substring.

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

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 242735094 and 242735103.

It is not an unprimeable number, because it can be changed into a prime (242735137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240066 + ... + 241074.

It is an arithmetic number, because the mean of its divisors is an integer number (5590350).

Almost surely, 2^242735130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242735130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357782400).

242735130 is an abundant number, since it is smaller than the sum of its proper divisors (472829670).

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

242735130 is a wasteful number, since it uses less digits than its factorization.

242735130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 242735130 is about 15579.9592425654. The cubic root of 242735130 is about 623.7983353507.

It can be divided in two parts, 24273 and 5130, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 242735130 in words is "two hundred forty-two million, seven hundred thirty-five thousand, one hundred thirty".