2732312080 has 80 divisors (see below), whose sum is σ = 6735841200. Its totient is φ = 1027178496.

The previous prime is 2732312041. The next prime is 2732312083. The reversal of 2732312080 is 802132372.

It can be written as a sum of positive squares in 8 ways, for example, as 337971456 + 2394340624 = 18384^2 + 48932^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2732312083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763146 + ... + 1764694.

It is an arithmetic number, because the mean of its divisors is an integer number (84198015).

Almost surely, 2^2732312080 is an apocalyptic number.

2732312080 is a gapful number since it is divisible by the number (20) 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 2732312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367920600).

2732312080 is an abundant number, since it is smaller than the sum of its proper divisors (4003529120).

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

2732312080 is a wasteful number, since it uses less digits than its factorization.

2732312080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2732312080 is about 52271.5226485703. The cubic root of 2732312080 is about 1398.0094295801.

The spelling of 2732312080 in words is "two billion, seven hundred thirty-two million, three hundred twelve thousand, eighty".