240210432020 has 96 divisors (see below), whose sum is σ = 554327262720. Its totient is φ = 86900935680.

The previous prime is 240210432019. The next prime is 240210432029. The reversal of 240210432020 is 20234012042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 240210431983 and 240210432001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240210432029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2646104 + ... + 2735376.

It is an arithmetic number, because the mean of its divisors is an integer number (5774242320).

Almost surely, 2^240210432020 is an apocalyptic number.

240210432020 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 240210432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277163631360).

240210432020 is an abundant number, since it is smaller than the sum of its proper divisors (314116830700).

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

240210432020 is a wasteful number, since it uses less digits than its factorization.

240210432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89505 (or 89503 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 240210432020 its reverse (20234012042), we get a palindrome (260444444062).

The spelling of 240210432020 in words is "two hundred forty billion, two hundred ten million, four hundred thirty-two thousand, twenty".