2807769216 has 256 divisors, whose sum is σ = 8876448000. Its totient is φ = 769720320.

The previous prime is 2807769203. The next prime is 2807769253. The reversal of 2807769216 is 6129677082.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 8045010 + ... + 8045358.

It is an arithmetic number, because the mean of its divisors is an integer number (34673625).

Almost surely, 2^2807769216 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 2807769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438224000).

2807769216 is an abundant number, since it is smaller than the sum of its proper divisors (6068678784).

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

2807769216 is a wasteful number, since it uses less digits than its factorization.

2807769216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 2807769216 is about 52988.3875580301. The cubic root of 2807769216 is about 1410.7621612584.

The spelling of 2807769216 in words is "two billion, eight hundred seven million, seven hundred sixty-nine thousand, two hundred sixteen".