2000438784 has 120 divisors (see below), whose sum is σ = 5883052032. Its totient is φ = 654151680.

The previous prime is 2000438779. The next prime is 2000438809. The reversal of 2000438784 is 4878340002.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 240129 + ... + 248319.

Almost surely, 2^2000438784 is an apocalyptic number.

2000438784 is a gapful number since it is divisible by the number (24) 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 2000438784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941526016).

2000438784 is an abundant number, since it is smaller than the sum of its proper divisors (3882613248).

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

2000438784 is an equidigital number, since it uses as much as digits as its factorization.

2000438784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2000438784 is about 44726.2650352117. The cubic root of 2000438784 is about 1260.0131820238.

Adding to 2000438784 its reverse (4878340002), we get a palindrome (6878778786).

The spelling of 2000438784 in words is "two billion, four hundred thirty-eight thousand, seven hundred eighty-four".