2772147104 has 48 divisors (see below), whose sum is σ = 5600830536. Its totient is φ = 1349836800.

The previous prime is 2772147089. The next prime is 2772147113. The reversal of 2772147104 is 4017412772.

2772147104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1620223504 + 1151923600 = 40252^2 + 33940^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 886664 + ... + 889784.

Almost surely, 2^2772147104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772147104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800415268).

2772147104 is an abundant number, since it is smaller than the sum of its proper divisors (2828683432).

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

2772147104 is a wasteful number, since it uses less digits than its factorization.

2772147104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 2772147104 is about 52651.1833105392. The cubic root of 2772147104 is about 1404.7706474998.

Adding to 2772147104 its reverse (4017412772), we get a palindrome (6789559876).

The spelling of 2772147104 in words is "two billion, seven hundred seventy-two million, one hundred forty-seven thousand, one hundred four".