2000538000 has 400 divisors, whose sum is σ = 7394031216. Its totient is φ = 521164800.

The previous prime is 2000537993. The next prime is 2000538013. The reversal of 2000538000 is 8350002.

2000538000 = T₅₅₉₅ + T₅₅₉₆ + ... + T₅₇₁₉.

It can be written as a sum of positive squares in 8 ways, for example, as 732893184 + 1267644816 = 27072^2 + 35604^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8585884 + ... + 8586116.

Almost surely, 2^2000538000 is an apocalyptic number.

2000538000 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 2000538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697015608).

2000538000 is an abundant number, since it is smaller than the sum of its proper divisors (5393493216).

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

2000538000 is a wasteful number, since it uses less digits than its factorization.

2000538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2000538000 is about 44727.3741683994. The cubic root of 2000538000 is about 1260.0340126873.

Adding to 2000538000 its reverse (8350002), we get a palindrome (2008888002).

The spelling of 2000538000 in words is "two billion, five hundred thirty-eight thousand".