2045635200 has 576 divisors, whose sum is σ = 8517163200. Its totient is φ = 457850880.

The previous prime is 2045635199. The next prime is 2045635217. The reversal of 2045635200 is 25365402.

2045635200 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 635 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14716731 + ... + 14716869.

Almost surely, 2^2045635200 is an apocalyptic number.

2045635200 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 2045635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4258581600).

2045635200 is an abundant number, since it is smaller than the sum of its proper divisors (6471528000).

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

2045635200 is a wasteful number, since it uses less digits than its factorization.

2045635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2045635200 is about 45228.6988537146. The cubic root of 2045635200 is about 1269.4318660810.

The spelling of 2045635200 in words is "two billion, forty-five million, six hundred thirty-five thousand, two hundred".