2811332484 has 27 divisors (see below), whose sum is σ = 7107228037. Its totient is φ = 937004784.

The previous prime is 2811332479. The next prime is 2811332507. The reversal of 2811332484 is 4842331182.

It is a happy number.

The square root of 2811332484 is 53022.

It is a perfect power (a square), and thus also a powerful number.

2811332484 is a `hidden beast` number, since 281 + 1 + 332 + 48 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2810060100 + 1272384 = 53010^2 + 1128^2 .

It is a super-3 number, since 3×2811332484³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 313714 + ... + 322550.

Almost surely, 2^2811332484 is an apocalyptic number.

2811332484 is the 53022-nd square number.

It is an amenable number.

2811332484 is an abundant number, since it is smaller than the sum of its proper divisors (4295895553).

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

2811332484 is an frugal number, since it uses more digits than its factorization.

2811332484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17684 (or 8842 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The cubic root of 2811332484 is about 1411.3586963559.

Multiplying 2811332484 by its sum of digits (36), we get a square (101207969424 = 318132²).

2811332484 divided by its sum of digits (36) gives a square (78092569 = 8837²).

Multiplying 2811332484 by its product of digits (36864), we get a square (103636960690176 = 10180224²).

The spelling of 2811332484 in words is "two billion, eight hundred eleven million, three hundred thirty-two thousand, four hundred eighty-four".