242044020 has 72 divisors (see below), whose sum is σ = 735494760. Its totient is φ = 64431360.

The previous prime is 242044013. The next prime is 242044027. The reversal of 242044020 is 20440242.

It is an interprime number because it is at equal distance from previous prime (242044013) and next prime (242044027).

It can be written as a sum of positive squares in 4 ways, for example, as 3526884 + 238517136 = 1878^2 + 15444^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242043984 and 242044002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242044027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168666 + ... + 170094.

It is an arithmetic number, because the mean of its divisors is an integer number (10215205).

Almost surely, 2^242044020 is an apocalyptic number.

242044020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242044020 is an abundant number, since it is smaller than the sum of its proper divisors (493450740).

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

242044020 is a wasteful number, since it uses less digits than its factorization.

242044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 242044020 is about 15557.7639781557. The cubic root of 242044020 is about 623.2057510690.

Adding to 242044020 its reverse (20440242), we get a palindrome (262484262).

It can be divided in two parts, 24204 and 4020, that added together give a square (28224 = 168²).

The spelling of 242044020 in words is "two hundred forty-two million, forty-four thousand, twenty".