2020434240 has 224 divisors, whose sum is σ = 7032686976. Its totient is φ = 487383040.

The previous prime is 2020434239. The next prime is 2020434257. The reversal of 2020434240 is 424340202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3093754 + ... + 3094406.

It is an arithmetic number, because the mean of its divisors is an integer number (31395924).

Almost surely, 2^2020434240 is an apocalyptic number.

2020434240 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 2020434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516343488).

2020434240 is an abundant number, since it is smaller than the sum of its proper divisors (5012252736).

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

2020434240 is a wasteful number, since it uses less digits than its factorization.

2020434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2020434240 is about 44949.2407054891. The cubic root of 2020434240 is about 1264.1974401827.

Adding to 2020434240 its reverse (424340202), we get a palindrome (2444774442).

The spelling of 2020434240 in words is "two billion, twenty million, four hundred thirty-four thousand, two hundred forty".