2049000800 has 576 divisors, whose sum is σ = 6839562240. Its totient is φ = 580608000.

The previous prime is 2049000799. The next prime is 2049000817. The reversal of 2049000800 is 80009402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55378382 + ... + 55378418.

It is an arithmetic number, because the mean of its divisors is an integer number (11874240).

Almost surely, 2^2049000800 is an apocalyptic number.

2049000800 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 2049000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419781120).

2049000800 is an abundant number, since it is smaller than the sum of its proper divisors (4790561440).

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

2049000800 is a wasteful number, since it uses less digits than its factorization.

2049000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 2049000800 is about 45265.8900277019. The cubic root of 2049000800 is about 1270.1276660880.

The spelling of 2049000800 in words is "two billion, forty-nine million, eight hundred", and thus it is an aban number.