2045555200 has 240 divisors, whose sum is σ = 5754006720. Its totient is φ = 714424320.

The previous prime is 2045555159. The next prime is 2045555251. The reversal of 2045555200 is 25555402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3161277 + ... + 3161923.

It is an arithmetic number, because the mean of its divisors is an integer number (23975028).

Almost surely, 2^2045555200 is an apocalyptic number.

2045555200 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 2045555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877003360).

2045555200 is an abundant number, since it is smaller than the sum of its proper divisors (3708451520).

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

2045555200 is a wasteful number, since it uses less digits than its factorization.

2045555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 2045555200 is about 45227.8144508443. The cubic root of 2045555200 is about 1269.4153176966.

The spelling of 2045555200 in words is "two billion, forty-five million, five hundred fifty-five thousand, two hundred".