2084728800 has 576 divisors, whose sum is σ = 8774438400. Its totient is φ = 417177600.

The previous prime is 2084728799. The next prime is 2084728823. The reversal of 2084728800 is 88274802.

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, 5359006 + ... + 5359394.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^2084728800 is an apocalyptic number.

2084728800 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 2084728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2084728800 is an abundant number, since it is smaller than the sum of its proper divisors (6689709600).

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

2084728800 is a wasteful number, since it uses less digits than its factorization.

2084728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 2084728800 is about 45658.8304712243. The cubic root of 2084728800 is about 1277.4674861485.

The spelling of 2084728800 in words is "two billion, eighty-four million, seven hundred twenty-eight thousand, eight hundred".