2172729984 has 128 divisors (see below), whose sum is σ = 6119738880. Its totient is φ = 681799680.

The previous prime is 2172729943. The next prime is 2172730019. The reversal of 2172729984 is 4899272712.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437982 + ... + 442914.

It is an arithmetic number, because the mean of its divisors is an integer number (47810460).

Almost surely, 2^2172729984 is an apocalyptic number.

2172729984 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 2172729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059869440).

2172729984 is an abundant number, since it is smaller than the sum of its proper divisors (3947008896).

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

2172729984 is a wasteful number, since it uses less digits than its factorization.

2172729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5006 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 2172729984 is about 46612.5517859728. The cubic root of 2172729984 is about 1295.1952785127.

The spelling of 2172729984 in words is "two billion, one hundred seventy-two million, seven hundred twenty-nine thousand, nine hundred eighty-four".