2090440800 has 864 divisors, whose sum is σ = 9261907200. Its totient is φ = 432967680.

The previous prime is 2090440789. The next prime is 2090440823. The reversal of 2090440800 is 80440902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35431171 + ... + 35431229.

It is an arithmetic number, because the mean of its divisors is an integer number (10719800).

Almost surely, 2^2090440800 is an apocalyptic number.

2090440800 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 2090440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630953600).

2090440800 is an abundant number, since it is smaller than the sum of its proper divisors (7171466400).

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

2090440800 is a wasteful number, since it uses less digits than its factorization.

2090440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2090440800 is about 45721.3385630823. The cubic root of 2090440800 is about 1278.6331437779.

The spelling of 2090440800 in words is "two billion, ninety million, four hundred forty thousand, eight hundred".