2006051700 has 72 divisors (see below), whose sum is σ = 5813065440. Its totient is φ = 534128000.

The previous prime is 2006051693. The next prime is 2006051701. The reversal of 2006051700 is 71506002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006051701) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 205531 + ... + 215069.

It is an arithmetic number, because the mean of its divisors is an integer number (80737020).

Almost surely, 2^2006051700 is an apocalyptic number.

2006051700 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 2006051700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906532720).

2006051700 is an abundant number, since it is smaller than the sum of its proper divisors (3807013740).

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

2006051700 is a wasteful number, since it uses less digits than its factorization.

2006051700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10257 (or 10250 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2006051700 is about 44788.9685078815. The cubic root of 2006051700 is about 1261.1905476875.

Adding to 2006051700 its reverse (71506002), we get a palindrome (2077557702).

The spelling of 2006051700 in words is "two billion, six million, fifty-one thousand, seven hundred".