2048803200 has 384 divisors, whose sum is σ = 7831641600. Its totient is φ = 522086400.

The previous prime is 2048803199. The next prime is 2048803201. The reversal of 2048803200 is 23088402.

It is an interprime number because it is at equal distance from previous prime (2048803199) and next prime (2048803201).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048803201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986685 + ... + 1987715.

It is an arithmetic number, because the mean of its divisors is an integer number (20394900).

Almost surely, 2^2048803200 is an apocalyptic number.

2048803200 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 2048803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915820800).

2048803200 is an abundant number, since it is smaller than the sum of its proper divisors (5782838400).

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

2048803200 is a wasteful number, since it uses less digits than its factorization.

2048803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2048803200 is about 45263.7073161269. The cubic root of 2048803200 is about 1270.0868355695.

The spelling of 2048803200 in words is "two billion, forty-eight million, eight hundred three thousand, two hundred".