2772667680 has 96 divisors (see below), whose sum is σ = 8770809600. Its totient is φ = 736253952.

The previous prime is 2772667679. The next prime is 2772667697. The reversal of 2772667680 is 867662772.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102636 + ... + 126804.

It is an arithmetic number, because the mean of its divisors is an integer number (91362600).

Almost surely, 2^2772667680 is an apocalyptic number.

2772667680 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 2772667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385404800).

2772667680 is an abundant number, since it is smaller than the sum of its proper divisors (5998141920).

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

2772667680 is a wasteful number, since it uses less digits than its factorization.

2772667680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24426 (or 24418 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The square root of 2772667680 is about 52656.1267090545. The cubic root of 2772667680 is about 1404.8585750262.

The spelling of 2772667680 in words is "two billion, seven hundred seventy-two million, six hundred sixty-seven thousand, six hundred eighty".