242041128 has 64 divisors (see below), whose sum is σ = 703296000. Its totient is φ = 67979712.

The previous prime is 242041123. The next prime is 242041139. The reversal of 242041128 is 821140242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242041098 and 242041107.

It is not an unprimeable number, because it can be changed into a prime (242041123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2298 + ... + 22121.

It is an arithmetic number, because the mean of its divisors is an integer number (10989000).

Almost surely, 2^242041128 is an apocalyptic number.

242041128 is a gapful number since it is divisible by the number (28) 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 242041128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351648000).

242041128 is an abundant number, since it is smaller than the sum of its proper divisors (461254872).

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

242041128 is a wasteful number, since it uses less digits than its factorization.

242041128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24494 (or 24490 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 242041128 is about 15557.6710339305. The cubic root of 242041128 is about 623.2032689885.

The spelling of 242041128 in words is "two hundred forty-two million, forty-one thousand, one hundred twenty-eight".