2923642880 has 120 divisors (see below), whose sum is σ = 7113060360. Its totient is φ = 1153433600.

The previous prime is 2923642873. The next prime is 2923642889. The reversal of 2923642880 is 882463292.

It can be written as a sum of positive squares in 4 ways, for example, as 668532736 + 2255110144 = 25856^2 + 47488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2923642889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7290680 + ... + 7291080.

It is an arithmetic number, because the mean of its divisors is an integer number (59275503).

Almost surely, 2^2923642880 is an apocalyptic number.

2923642880 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 2923642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556530180).

2923642880 is an abundant number, since it is smaller than the sum of its proper divisors (4189417480).

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

2923642880 is an frugal number, since it uses more digits than its factorization.

2923642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 2923642880 is about 54070.7210974664. The cubic root of 2923642880 is about 1429.9080384893.

The spelling of 2923642880 in words is "two billion, nine hundred twenty-three million, six hundred forty-two thousand, eight hundred eighty".