2129385984 has 160 divisors (see below), whose sum is σ = 6230119104. Its totient is φ = 640942080.

The previous prime is 2129385967. The next prime is 2129385991. The reversal of 2129385984 is 4895839212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3260602 + ... + 3261254.

Almost surely, 2^2129385984 is an apocalyptic number.

2129385984 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 2129385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115059552).

2129385984 is an abundant number, since it is smaller than the sum of its proper divisors (4100733120).

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

2129385984 is a wasteful number, since it uses less digits than its factorization.

2129385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 862 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 2129385984 is about 46145.2704402087. The cubic root of 2129385984 is about 1286.5247051205.

The spelling of 2129385984 in words is "two billion, one hundred twenty-nine million, three hundred eighty-five thousand, nine hundred eighty-four".