242052840 has 128 divisors (see below), whose sum is σ = 817344000. Its totient is φ = 63707904.

The previous prime is 242052829. The next prime is 242052841. The reversal of 242052840 is 48250242.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (242052841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83902 + ... + 86738.

It is an arithmetic number, because the mean of its divisors is an integer number (6385500).

Almost surely, 2^242052840 is an apocalyptic number.

242052840 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 242052840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408672000).

242052840 is an abundant number, since it is smaller than the sum of its proper divisors (575291160).

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

242052840 is a wasteful number, since it uses less digits than its factorization.

242052840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 242052840 is about 15558.0474353307. The cubic root of 242052840 is about 623.2133207774.

The spelling of 242052840 in words is "two hundred forty-two million, fifty-two thousand, eight hundred forty".