2773062820 has 96 divisors (see below), whose sum is σ = 6538371840. Its totient is φ = 979330560.

The previous prime is 2773062769. The next prime is 2773062821. The reversal of 2773062820 is 282603772.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2773062820.

It is not an unprimeable number, because it can be changed into a prime (2773062821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199826 + ... + 1202134.

It is an arithmetic number, because the mean of its divisors is an integer number (68108040).

Almost surely, 2^2773062820 is an apocalyptic number.

2773062820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2773062820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269185920).

2773062820 is an abundant number, since it is smaller than the sum of its proper divisors (3765309020).

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

2773062820 is a wasteful number, since it uses less digits than its factorization.

2773062820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 2773062820 is about 52659.8786553862. The cubic root of 2773062820 is about 1404.9253085254.

It can be divided in two parts, 277306 and 2820, that added together give a triangular number (280126 = T₇₄₈).

The spelling of 2773062820 in words is "two billion, seven hundred seventy-three million, sixty-two thousand, eight hundred twenty".