2772566016 has 144 divisors (see below), whose sum is σ = 8078198688. Its totient is φ = 838860800.

The previous prime is 2772565987. The next prime is 2772566021. The reversal of 2772566016 is 6106652772.

It is a super-2 number, since 2×2772566016² = 15374244626156224512, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4325056 + ... + 4325696.

It is an arithmetic number, because the mean of its divisors is an integer number (56098602).

Almost surely, 2^2772566016 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 2772566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039099344).

2772566016 is an abundant number, since it is smaller than the sum of its proper divisors (5305632672).

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

2772566016 is an frugal number, since it uses more digits than its factorization.

2772566016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 2772566016 is about 52655.1613424553. The cubic root of 2772566016 is about 1404.8414044040.

The spelling of 2772566016 in words is "two billion, seven hundred seventy-two million, five hundred sixty-six thousand, sixteen".