2820772416 has 336 divisors, whose sum is σ = 9602736192. Its totient is φ = 722534400.

The previous prime is 2820772349. The next prime is 2820772457. The reversal of 2820772416 is 6142770282.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10038196 + ... + 10038476.

It is an arithmetic number, because the mean of its divisors is an integer number (28579572).

Almost surely, 2^2820772416 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 2820772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801368096).

2820772416 is an abundant number, since it is smaller than the sum of its proper divisors (6781963776).

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

2820772416 is a wasteful number, since it uses less digits than its factorization.

2820772416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 2820772416 is about 53110.9444088504. The cubic root of 2820772416 is about 1412.9366249425.

The spelling of 2820772416 in words is "two billion, eight hundred twenty million, seven hundred seventy-two thousand, four hundred sixteen".