2020132400 has 120 divisors (see below), whose sum is σ = 5702020464. Its totient is φ = 678067200.

The previous prime is 2020132369. The next prime is 2020132403. The reversal of 2020132400 is 42310202.

It is a super-3 number, since 3×2020132400³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2020132403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39542 + ... + 74858.

Almost surely, 2^2020132400 is an apocalyptic number.

2020132400 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 2020132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851010232).

2020132400 is an abundant number, since it is smaller than the sum of its proper divisors (3681888064).

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

2020132400 is a wasteful number, since it uses less digits than its factorization.

2020132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35359 (or 35348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2020132400 is about 44945.8830150215. The cubic root of 2020132400 is about 1264.1344827003.

Adding to 2020132400 its reverse (42310202), we get a palindrome (2062442602).

The spelling of 2020132400 in words is "two billion, twenty million, one hundred thirty-two thousand, four hundred".