2084140800 has 432 divisors, whose sum is σ = 8739162880. Its totient is φ = 476098560.

The previous prime is 2084140781. The next prime is 2084140867. The reversal of 2084140800 is 80414802.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208739 + ... + 1210461.

Almost surely, 2^2084140800 is an apocalyptic number.

2084140800 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 2084140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369581440).

2084140800 is an abundant number, since it is smaller than the sum of its proper divisors (6655022080).

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

2084140800 is a wasteful number, since it uses less digits than its factorization.

2084140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2084140800 is about 45652.3909560058. The cubic root of 2084140800 is about 1277.3473711622.

It can be divided in two parts, 2084 and 140800, that added together give a square (142884 = 378²).

The spelling of 2084140800 in words is "two billion, eighty-four million, one hundred forty thousand, eight hundred".