2772873006 has 32 divisors (see below), whose sum is σ = 5667356160. Its totient is φ = 904047936.

The previous prime is 2772872957. The next prime is 2772873029. The reversal of 2772873006 is 6003782772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849730 + ... + 852986.

It is an arithmetic number, because the mean of its divisors is an integer number (177104880).

Almost surely, 2^2772873006 is an apocalyptic number.

2772873006 is an abundant number, since it is smaller than the sum of its proper divisors (2894483154).

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

2772873006 is a wasteful number, since it uses less digits than its factorization.

2772873006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328.

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 2772873006 is about 52658.0763606116. The cubic root of 2772873006 is about 1404.8932524446.

The spelling of 2772873006 in words is "two billion, seven hundred seventy-two million, eight hundred seventy-three thousand, six".