2772872802 has 96 divisors (see below), whose sum is σ = 7057290240. Its totient is φ = 770364000.

The previous prime is 2772872789. The next prime is 2772872803. The reversal of 2772872802 is 2082782772.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2772872803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358899 + ... + 1360937.

It is an arithmetic number, because the mean of its divisors is an integer number (73513440).

Almost surely, 2^2772872802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772872802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528645120).

2772872802 is an abundant number, since it is smaller than the sum of its proper divisors (4284417438).

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

2772872802 is a wasteful number, since it uses less digits than its factorization.

2772872802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 2772872802 is about 52658.0744235867. The cubic root of 2772872802 is about 1404.8932179920.

The spelling of 2772872802 in words is "two billion, seven hundred seventy-two million, eight hundred seventy-two thousand, eight hundred two".