2006035200 has 864 divisors, whose sum is σ = 8516121600. Its totient is φ = 457850880.

The previous prime is 2006035159. The next prime is 2006035201. The reversal of 2006035200 is 25306002.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006035201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42681577 + ... + 42681623.

Almost surely, 2^2006035200 is an apocalyptic number.

2006035200 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 2006035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258060800).

2006035200 is an abundant number, since it is smaller than the sum of its proper divisors (6510086400).

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

2006035200 is a wasteful number, since it uses less digits than its factorization.

2006035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

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

The square root of 2006035200 is about 44788.7843103606. The cubic root of 2006035200 is about 1261.1870898669.

The spelling of 2006035200 in words is "two billion, six million, thirty-five thousand, two hundred".