2005410120 has 64 divisors (see below), whose sum is σ = 6875694720. Its totient is φ = 458379264.

The previous prime is 2005410109. The next prime is 2005410193. The reversal of 2005410120 is 210145002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2005410120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1192857 + ... + 1194536.

It is an arithmetic number, because the mean of its divisors is an integer number (107432730).

Almost surely, 2^2005410120 is an apocalyptic number.

2005410120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005410120 is an abundant number, since it is smaller than the sum of its proper divisors (4870284600).

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

2005410120 is a wasteful number, since it uses less digits than its factorization.

2005410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387414 (or 2387410 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2005410120 is about 44781.8056804323. The cubic root of 2005410120 is about 1261.0560810785.

Adding to 2005410120 its reverse (210145002), we get a palindrome (2215555122).

The spelling of 2005410120 in words is "two billion, five million, four hundred ten thousand, one hundred twenty".