2006377757 has 8 divisors (see below), whose sum is σ = 2132074296. Its totient is φ = 1881533952.

The previous prime is 2006377739. The next prime is 2006377801. The reversal of 2006377757 is 7577736002.

It can be written as a sum of positive squares in 4 ways, for example, as 303247396 + 1703130361 = 17414^2 + 41269^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2006377757 - 2¹⁶ = 2006312221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006377717) 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 7 ways as a sum of consecutive naturals, for example, 208328 + ... + 217745.

It is an arithmetic number, because the mean of its divisors is an integer number (266509287).

Almost surely, 2^2006377757 is an apocalyptic number.

It is an amenable number.

2006377757 is a deficient number, since it is larger than the sum of its proper divisors (125696539).

2006377757 is a wasteful number, since it uses less digits than its factorization.

2006377757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426367.

The product of its (nonzero) digits is 432180, while the sum is 44.

The square root of 2006377757 is about 44792.6082852964. The cubic root of 2006377757 is about 1261.2588738975.

The spelling of 2006377757 in words is "two billion, six million, three hundred seventy-seven thousand, seven hundred fifty-seven".