2005460100 has 144 divisors (see below), whose sum is σ = 7368278400. Its totient is φ = 458386560.

The previous prime is 2005460099. The next prime is 2005460129. The reversal of 2005460100 is 10645002.

It is a happy number.

2005460100 is a `hidden beast` number, since 20 + 0 + 546 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34155 + ... + 71954.

It is an arithmetic number, because the mean of its divisors is an integer number (51168600).

Almost surely, 2^2005460100 is an apocalyptic number.

2005460100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005460100 is an abundant number, since it is smaller than the sum of its proper divisors (5362818300).

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

2005460100 is a wasteful number, since it uses less digits than its factorization.

2005460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106139 (or 106126 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005460100 is about 44782.3637160881. The cubic root of 2005460100 is about 1261.0665572497.

The spelling of 2005460100 in words is "two billion, five million, four hundred sixty thousand, one hundred".