2006745867 has 16 divisors (see below), whose sum is σ = 3397665280. Its totient is φ = 1146711816.

The previous prime is 2006745823. The next prime is 2006745889. The reversal of 2006745867 is 7685476002.

2006745867 is a `hidden beast` number, since 2 + 0 + 0 + 67 + 4 + 586 + 7 = 666.

It is not a de Polignac number, because 2006745867 - 2¹⁰ = 2006744843 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2006745967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5308663 + ... + 5309040.

It is an arithmetic number, because the mean of its divisors is an integer number (212354080).

Almost surely, 2^2006745867 is an apocalyptic number.

2006745867 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2006745867 is a deficient number, since it is larger than the sum of its proper divisors (1390919413).

2006745867 is a wasteful number, since it uses less digits than its factorization.

2006745867 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617719 (or 10617713 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2006745867 is about 44796.7171453445. The cubic root of 2006745867 is about 1261.3360035426.

The spelling of 2006745867 in words is "two billion, six million, seven hundred forty-five thousand, eight hundred sixty-seven".