2772671824 has 80 divisors (see below), whose sum is σ = 6158980800. Its totient is φ = 1198568448.

The previous prime is 2772671801. The next prime is 2772671887. The reversal of 2772671824 is 4281762772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347787 + ... + 355669.

It is an arithmetic number, because the mean of its divisors is an integer number (76987260).

Almost surely, 2^2772671824 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 2772671824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079490400).

2772671824 is an abundant number, since it is smaller than the sum of its proper divisors (3386308976).

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

2772671824 is a wasteful number, since it uses less digits than its factorization.

2772671824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 8006 counting only the distinct ones).

The product of its digits is 526848, while the sum is 46.

The square root of 2772671824 is about 52656.1660586868. The cubic root of 2772671824 is about 1404.8592749215.

The spelling of 2772671824 in words is "two billion, seven hundred seventy-two million, six hundred seventy-one thousand, eight hundred twenty-four".