2005500120 has 128 divisors (see below), whose sum is σ = 6496459200. Its totient is φ = 492355584.

The previous prime is 2005500113. The next prime is 2005500131. The reversal of 2005500120 is 210055002.

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 2005500120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673996 + ... + 676964.

Almost surely, 2^2005500120 is an apocalyptic number.

2005500120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005500120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248229600).

2005500120 is an abundant number, since it is smaller than the sum of its proper divisors (4490959080).

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

2005500120 is a wasteful number, since it uses less digits than its factorization.

2005500120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2005500120 is about 44782.8105415460. The cubic root of 2005500120 is about 1261.0749456071.

Adding to 2005500120 its reverse (210055002), we get a palindrome (2215555122).

The spelling of 2005500120 in words is "two billion, five million, five hundred thousand, one hundred twenty".