2005821200 has 30 divisors (see below), whose sum is σ = 4818986394. Its totient is φ = 802328320.

The previous prime is 2005821187. The next prime is 2005821217. The reversal of 2005821200 is 21285002.

It can be written as a sum of positive squares in 3 ways, for example, as 23078416 + 1982742784 = 4804^2 + 44528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2506877 + ... + 2507676.

Almost surely, 2^2005821200 is an apocalyptic number.

2005821200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005821200 is an abundant number, since it is smaller than the sum of its proper divisors (2813165194).

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

2005821200 is a wasteful number, since it uses less digits than its factorization.

2005821200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014571 (or 5014560 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2005821200 is about 44786.3952557024. The cubic root of 2005821200 is about 1261.1422412628.

The spelling of 2005821200 in words is "two billion, five million, eight hundred twenty-one thousand, two hundred".