2005445200 has 60 divisors (see below), whose sum is σ = 5256101088. Its totient is φ = 729251200.

The previous prime is 2005445179. The next prime is 2005445203. The reversal of 2005445200 is 25445002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005445203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223492 + ... + 232291.

Almost surely, 2^2005445200 is an apocalyptic number.

2005445200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005445200 is an abundant number, since it is smaller than the sum of its proper divisors (3250655888).

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

2005445200 is a wasteful number, since it uses less digits than its factorization.

2005445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455812 (or 455801 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2005445200 is about 44782.1973556457. The cubic root of 2005445200 is about 1261.0634341197.

The spelling of 2005445200 in words is "two billion, five million, four hundred forty-five thousand, two hundred".