2772608696 has 128 divisors (see below), whose sum is σ = 6306854400. Its totient is φ = 1125895680.

The previous prime is 2772608677. The next prime is 2772608701. The reversal of 2772608696 is 6968062772.

It is a super-2 number, since 2×2772608696² = 15374717962269640832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7722965 + ... + 7723323.

It is an arithmetic number, because the mean of its divisors is an integer number (49272300).

Almost surely, 2^2772608696 is an apocalyptic number.

2772608696 is a gapful number since it is divisible by the number (26) 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 2772608696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153427200).

2772608696 is an abundant number, since it is smaller than the sum of its proper divisors (3534245704).

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

2772608696 is a wasteful number, since it uses less digits than its factorization.

2772608696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The square root of 2772608696 is about 52655.5666193044. The cubic root of 2772608696 is about 1404.8486129277.

The spelling of 2772608696 in words is "two billion, seven hundred seventy-two million, six hundred eight thousand, six hundred ninety-six".