2006769600 has 672 divisors, whose sum is σ = 8254471680. Its totient is φ = 470016000.

The previous prime is 2006769551. The next prime is 2006769647. The reversal of 2006769600 is 69676002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 19483149 + ... + 19483251.

It is an arithmetic number, because the mean of its divisors is an integer number (12283440).

Almost surely, 2^2006769600 is an apocalyptic number.

2006769600 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 2006769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127235840).

2006769600 is an abundant number, since it is smaller than the sum of its proper divisors (6247702080).

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

2006769600 is a wasteful number, since it uses less digits than its factorization.

2006769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2006769600 is about 44796.9820412045. The cubic root of 2006769600 is about 1261.3409759658.

It can be divided in two parts, 200676 and 9600, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 2006769600 in words is "two billion, six million, seven hundred sixty-nine thousand, six hundred".