2006657730 has 192 divisors, whose sum is σ = 6887731968. Its totient is φ = 392417280.

The previous prime is 2006657707. The next prime is 2006657759. The reversal of 2006657730 is 377566002.

It is a happy number.

2006657730 is a `hidden beast` number, since 20 + 0 + 66 + 577 + 3 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109294 + ... + 126326.

It is an arithmetic number, because the mean of its divisors is an integer number (35873604).

Almost surely, 2^2006657730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006657730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443865984).

2006657730 is an abundant number, since it is smaller than the sum of its proper divisors (4881074238).

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

2006657730 is a wasteful number, since it uses less digits than its factorization.

2006657730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17081 (or 17078 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 2006657730 is about 44795.7333905808. The cubic root of 2006657730 is about 1261.3175371620.

The spelling of 2006657730 in words is "two billion, six million, six hundred fifty-seven thousand, seven hundred thirty".