2139830784 has 540 divisors, whose sum is σ = 8033739714. Its totient is φ = 564350976.

The previous prime is 2139830741. The next prime is 2139830789. The reversal of 2139830784 is 4870389312.

It can be written as a sum of positive squares in only one way, i.e., 2057529600 + 82301184 = 45360^2 + 9072^2 .

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2139830789) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 164602362 + ... + 164602374.

Almost surely, 2^2139830784 is an apocalyptic number.

2139830784 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 2139830784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016869857).

2139830784 is an abundant number, since it is smaller than the sum of its proper divisors (5893908930).

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

2139830784 is an frugal number, since it uses more digits than its factorization.

2139830784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2139830784 is about 46258.3050273137. The cubic root of 2139830784 is about 1288.6247756534.

The spelling of 2139830784 in words is "two billion, one hundred thirty-nine million, eight hundred thirty thousand, seven hundred eighty-four".