2005624120 has 32 divisors (see below), whose sum is σ = 4515073200. Its totient is φ = 801819648.

The previous prime is 2005624073. The next prime is 2005624121. The reversal of 2005624120 is 214265002.

It is a super-2 number, since 2×2005624120² = 8045056221451548800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005624091 and 2005624100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005624121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68251 + ... + 93109.

Almost surely, 2^2005624120 is an apocalyptic number.

2005624120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005624120 is an abundant number, since it is smaller than the sum of its proper divisors (2509449080).

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

2005624120 is a wasteful number, since it uses less digits than its factorization.

2005624120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26887 (or 26883 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2005624120 is about 44784.1949799257. The cubic root of 2005624120 is about 1261.1009358109.

Adding to 2005624120 its reverse (214265002), we get a palindrome (2219889122).

The spelling of 2005624120 in words is "two billion, five million, six hundred twenty-four thousand, one hundred twenty".