2723773272 has 64 divisors (see below), whose sum is σ = 7819459200. Its totient is φ = 781943040.

The previous prime is 2723773267. The next prime is 2723773277.

It is a happy number.

2723773272 is nontrivially palindromic in base 10.

2723773272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2723773267) and next prime (2723773277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2723773277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266493 + ... + 276524.

It is an arithmetic number, because the mean of its divisors is an integer number (122179050).

Almost surely, 2^2723773272 is an apocalyptic number.

2723773272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2723773272 is an abundant number, since it is smaller than the sum of its proper divisors (5095685928).

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

2723773272 is a wasteful number, since it uses less digits than its factorization.

2723773272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543056 (or 543052 counting only the distinct ones).

The product of its digits is 345744, while the sum is 42.

The square root of 2723773272 is about 52189.7812986412. The cubic root of 2723773272 is about 1396.5515933113.

The spelling of 2723773272 in words is "two billion, seven hundred twenty-three million, seven hundred seventy-three thousand, two hundred seventy-two".