2084716800 has 324 divisors, whose sum is σ = 7895471220. Its totient is φ = 522977280.

The previous prime is 2084716771. The next prime is 2084716813. The reversal of 2084716800 is 86174802.

It can be written as a sum of positive squares in 6 ways, for example, as 31539456 + 2053177344 = 5616^2 + 45312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 978136 + ... + 980264.

Almost surely, 2^2084716800 is an apocalyptic number.

2084716800 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 2084716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947735610).

2084716800 is an abundant number, since it is smaller than the sum of its proper divisors (5810754420).

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

2084716800 is a wasteful number, since it uses less digits than its factorization.

2084716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2084716800 is about 45658.6990616246. The cubic root of 2084716800 is about 1277.4650350480.

The spelling of 2084716800 in words is "two billion, eighty-four million, seven hundred sixteen thousand, eight hundred".