2085830784 has 128 divisors (see below), whose sum is σ = 6355008000. Its totient is φ = 672814080.

The previous prime is 2085830783. The next prime is 2085830809. The reversal of 2085830784 is 4870385802.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2085830783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97402 + ... + 116870.

It is an arithmetic number, because the mean of its divisors is an integer number (49648500).

Almost surely, 2^2085830784 is an apocalyptic number.

2085830784 is a gapful number since it is divisible by the number (24) 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 2085830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177504000).

2085830784 is an abundant number, since it is smaller than the sum of its proper divisors (4269177216).

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

2085830784 is a wasteful number, since it uses less digits than its factorization.

2085830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19523 (or 19505 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2085830784 is about 45670.8964659114. The cubic root of 2085830784 is about 1277.6925355264.

The spelling of 2085830784 in words is "two billion, eighty-five million, eight hundred thirty thousand, seven hundred eighty-four".