240105020 has 48 divisors (see below), whose sum is σ = 518616000. Its totient is φ = 93319680.

The previous prime is 240104989. The next prime is 240105023. The reversal of 240105020 is 20501042.

It is a junction number, because it is equal to n+sod(n) for n = 240104986 and 240105004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240105023) 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 15 ways as a sum of consecutive naturals, for example, 285761 + ... + 286599.

It is an arithmetic number, because the mean of its divisors is an integer number (10804500).

Almost surely, 2^240105020 is an apocalyptic number.

240105020 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 240105020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259308000).

240105020 is an abundant number, since it is smaller than the sum of its proper divisors (278510980).

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

240105020 is a wasteful number, since it uses less digits than its factorization.

240105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 240105020 is about 15495.3225200381. The cubic root of 240105020 is about 621.5371328496.

Adding to 240105020 its reverse (20501042), we get a palindrome (260606062).

The spelling of 240105020 in words is "two hundred forty million, one hundred five thousand, twenty".