240442020 has 360 divisors, whose sum is σ = 948972024. Its totient is φ = 50512896.

The previous prime is 240442009. The next prime is 240442031. The reversal of 240442020 is 20244042.

240442020 is a `hidden beast` number, since 240 + 4 + 420 + 2 + 0 = 666.

240442020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240442009) and next prime (240442031).

It can be written as a sum of positive squares in 4 ways, for example, as 254016 + 240188004 = 504^2 + 15498^2 .

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 = 240441984 and 240442002.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1031824 + ... + 1032056.

Almost surely, 2^240442020 is an apocalyptic number.

240442020 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 240442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474486012).

240442020 is an abundant number, since it is smaller than the sum of its proper divisors (708530004).

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

240442020 is a wasteful number, since it uses less digits than its factorization.

240442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

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

The square root of 240442020 is about 15506.1929563642. The cubic root of 240442020 is about 621.8277835754.

Adding to 240442020 its reverse (20244042), we get a palindrome (260686062).

The spelling of 240442020 in words is "two hundred forty million, four hundred forty-two thousand, twenty".