2048000800 has 72 divisors (see below), whose sum is σ = 5007687300. Its totient is φ = 817889280.

The previous prime is 2048000797. The next prime is 2048000827. The reversal of 2048000800 is 80008402.

It can be written as a sum of positive squares in 6 ways, for example, as 529184016 + 1518816784 = 23004^2 + 38972^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613536 + ... + 616864.

It is the magic constant of a 1600 × 1600 magic square.

Almost surely, 2^2048000800 is an apocalyptic number.

2048000800 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 2048000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503843650).

2048000800 is an abundant number, since it is smaller than the sum of its proper divisors (2959686500).

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

2048000800 is a wasteful number, since it uses less digits than its factorization.

2048000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2048000800 is about 45254.8428347729. The cubic root of 2048000800 is about 1269.9210069288.

The spelling of 2048000800 in words is "two billion, forty-eight million, eight hundred", and thus it is an aban number.