2845900800 has 306 divisors, whose sum is σ = 10247392922. Its totient is φ = 754974720.

The previous prime is 2845900789. The next prime is 2845900823. The reversal of 2845900800 is 80095482.

It can be written as a sum of positive squares in 3 ways, for example, as 37748736 + 2808152064 = 6144^2 + 52992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14745504 + ... + 14745696.

Almost surely, 2^2845900800 is an apocalyptic number.

2845900800 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 2845900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123696461).

2845900800 is an abundant number, since it is smaller than the sum of its proper divisors (7401492122).

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

2845900800 is an equidigital number, since it uses as much as digits as its factorization.

2845900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2845900800 is about 53346.9849194872. The cubic root of 2845900800 is about 1417.1198648467.

The spelling of 2845900800 in words is "two billion, eight hundred forty-five million, nine hundred thousand, eight hundred".