2009782827 has 32 divisors (see below), whose sum is σ = 3214041600. Its totient is φ = 1233877536.

The previous prime is 2009782763. The next prime is 2009782829. The reversal of 2009782827 is 7282879002.

It is a happy number.

It is not a de Polignac number, because 2009782827 - 2⁶ = 2009782763 is a prime.

It is a super-2 number, since 2×2009782827² = 8078454023408223858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2009782829) 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 31 ways as a sum of consecutive naturals, for example, 147568 + ... + 160610.

It is an arithmetic number, because the mean of its divisors is an integer number (100438800).

Almost surely, 2^2009782827 is an apocalyptic number.

2009782827 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2009782827 is a deficient number, since it is larger than the sum of its proper divisors (1204258773).

2009782827 is a wasteful number, since it uses less digits than its factorization.

2009782827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2009782827 is about 44830.6014570405. The cubic root of 2009782827 is about 1261.9719744916.

The spelling of 2009782827 in words is "two billion, nine million, seven hundred eighty-two thousand, eight hundred twenty-seven".