2775946656 has 192 divisors, whose sum is σ = 8696491776. Its totient is φ = 758784000.

The previous prime is 2775946639. The next prime is 2775946661. The reversal of 2775946656 is 6566495772.

It is a super-3 number, since 3×2775946656³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2775946596 and 2775946605.

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, 1459306 + ... + 1461206.

It is an arithmetic number, because the mean of its divisors is an integer number (45294228).

Almost surely, 2^2775946656 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 2775946656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348245888).

2775946656 is an abundant number, since it is smaller than the sum of its proper divisors (5920545120).

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

2775946656 is a wasteful number, since it uses less digits than its factorization.

2775946656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2007 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 57.

The square root of 2775946656 is about 52687.2532592087. The cubic root of 2775946656 is about 1405.4121553542.

The spelling of 2775946656 in words is "two billion, seven hundred seventy-five million, nine hundred forty-six thousand, six hundred fifty-six".