2005624680 has 64 divisors (see below), whose sum is σ = 6023384640. Its totient is φ = 534254592.

The previous prime is 2005624631. The next prime is 2005624693. The reversal of 2005624680 is 864265002.

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, 108687 + ... + 125793.

It is an arithmetic number, because the mean of its divisors is an integer number (94115385).

Almost surely, 2^2005624680 is an apocalyptic number.

2005624680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005624680 is an abundant number, since it is smaller than the sum of its proper divisors (4017759960).

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

2005624680 is a wasteful number, since it uses less digits than its factorization.

2005624680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18098 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2005624680 is about 44784.2012321310. The cubic root of 2005624680 is about 1261.1010531836.

Adding to 2005624680 its reverse (864265002), we get a palindrome (2869889682).

The spelling of 2005624680 in words is "two billion, five million, six hundred twenty-four thousand, six hundred eighty".