2045404800 has 576 divisors, whose sum is σ = 7892352000. Its totient is φ = 503193600.

The previous prime is 2045404763. The next prime is 2045404813. The reversal of 2045404800 is 84045402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25891161 + ... + 25891239.

It is an arithmetic number, because the mean of its divisors is an integer number (13702000).

Almost surely, 2^2045404800 is an apocalyptic number.

2045404800 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 2045404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946176000).

2045404800 is an abundant number, since it is smaller than the sum of its proper divisors (5846947200).

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

2045404800 is a wasteful number, since it uses less digits than its factorization.

2045404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2045404800 is about 45226.1517266283. The cubic root of 2045404800 is about 1269.3842055657.

The spelling of 2045404800 in words is "two billion, forty-five million, four hundred four thousand, eight hundred".