2112770304 has 126 divisors (see below), whose sum is σ = 6323597406. Its totient is φ = 704194560.

The previous prime is 2112770293. The next prime is 2112770327. The reversal of 2112770304 is 4030772112.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1348358400 + 764411904 = 36720^2 + 27648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 180964 + ... + 192284.

It is an arithmetic number, because the mean of its divisors is an integer number (50187281).

Almost surely, 2^2112770304 is an apocalyptic number.

2112770304 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 2112770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161798703).

2112770304 is an abundant number, since it is smaller than the sum of its proper divisors (4210827102).

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

2112770304 is an frugal number, since it uses more digits than its factorization.

2112770304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2112770304 is about 45964.8812029358. The cubic root of 2112770304 is about 1283.1696964048.

The spelling of 2112770304 in words is "two billion, one hundred twelve million, seven hundred seventy thousand, three hundred four".