2006503200 has 648 divisors, whose sum is σ = 8195873868. Its totient is φ = 460062720.

The previous prime is 2006503153. The next prime is 2006503201. The reversal of 2006503200 is 23056002.

It can be written as a sum of positive squares in 18 ways, for example, as 319265424 + 1687237776 = 17868^2 + 41076^2 .

It is a super-2 number, since 2×2006503200² = 8052110183220480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2006503201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20685552 + ... + 20685648.

Almost surely, 2^2006503200 is an apocalyptic number.

2006503200 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 2006503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097936934).

2006503200 is an abundant number, since it is smaller than the sum of its proper divisors (6189370668).

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

2006503200 is a wasteful number, since it uses less digits than its factorization.

2006503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2006503200 is about 44794.0085279270. The cubic root of 2006503200 is about 1261.2851588778.

Adding to 2006503200 its reverse (23056002), we get a palindrome (2029559202).

The spelling of 2006503200 in words is "two billion, six million, five hundred three thousand, two hundred".