2000084400 has 420 divisors, whose sum is σ = 7604700520. Its totient is φ = 505284480.

The previous prime is 2000084371. The next prime is 2000084417. The reversal of 2000084400 is 44800002.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 105267591 + ... + 105267609.

Almost surely, 2^2000084400 is an apocalyptic number.

2000084400 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 2000084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802350260).

2000084400 is an abundant number, since it is smaller than the sum of its proper divisors (5604616120).

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

2000084400 is an frugal number, since it uses more digits than its factorization.

2000084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2000084400 is about 44722.3031607273. The cubic root of 2000084400 is about 1259.9387725350.

Adding to 2000084400 its reverse (44800002), we get a palindrome (2044884402).

The spelling of 2000084400 in words is "two billion, eighty-four thousand, four hundred".