2006451918 has 64 divisors (see below), whose sum is σ = 4513259520. Its totient is φ = 660695616.

The previous prime is 2006451893. The next prime is 2006451919. The reversal of 2006451918 is 8191546002.

2006451918 is a `hidden beast` number, since 2 + 0 + 0 + 645 + 1 + 9 + 1 + 8 = 666.

2006451918 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006451919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2104930 + ... + 2105882.

It is an arithmetic number, because the mean of its divisors is an integer number (70519680).

Almost surely, 2^2006451918 is an apocalyptic number.

2006451918 is an abundant number, since it is smaller than the sum of its proper divisors (2506807602).

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

2006451918 is a wasteful number, since it uses less digits than its factorization.

2006451918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2006451918 is about 44793.4361039651. The cubic root of 2006451918 is about 1261.2744135213.

The spelling of 2006451918 in words is "two billion, six million, four hundred fifty-one thousand, nine hundred eighteen".