2129788584 has 192 divisors, whose sum is σ = 7570368000. Its totient is φ = 524050560.

The previous prime is 2129788553. The next prime is 2129788607. The reversal of 2129788584 is 4858879212.

It is a self number, because there is not a number n which added to its sum of digits gives 2129788584.

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, 95227 + ... + 115445.

It is an arithmetic number, because the mean of its divisors is an integer number (39429000).

Almost surely, 2^2129788584 is an apocalyptic number.

2129788584 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 2129788584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785184000).

2129788584 is an abundant number, since it is smaller than the sum of its proper divisors (5440579416).

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

2129788584 is a wasteful number, since it uses less digits than its factorization.

2129788584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20268 (or 20261 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 2129788584 is about 46149.6325445826. The cubic root of 2129788584 is about 1286.6057804807.

The spelling of 2129788584 in words is "two billion, one hundred twenty-nine million, seven hundred eighty-eight thousand, five hundred eighty-four".