2771850816 has 504 divisors, whose sum is σ = 10061920440. Its totient is φ = 724598784.

The previous prime is 2771850811. The next prime is 2771850839. The reversal of 2771850816 is 6180581772.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1304654400 + 1467196416 = 36120^2 + 38304^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2771850811) 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 71 ways as a sum of consecutive naturals, for example, 25429770 + ... + 25429878.

Almost surely, 2^2771850816 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 2771850816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030960220).

2771850816 is an abundant number, since it is smaller than the sum of its proper divisors (7290069624).

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

2771850816 is a wasteful number, since it uses less digits than its factorization.

2771850816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 2771850816 is about 52648.3695474038. The cubic root of 2771850816 is about 1404.7205982661.

The spelling of 2771850816 in words is "two billion, seven hundred seventy-one million, eight hundred fifty thousand, eight hundred sixteen".