2677049856 has 480 divisors, whose sum is σ = 9115666560. Its totient is φ = 749371392.

The previous prime is 2677049849. The next prime is 2677049917. The reversal of 2677049856 is 6589407762.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39955935 + ... + 39956001.

It is an arithmetic number, because the mean of its divisors is an integer number (18990972).

Almost surely, 2^2677049856 is an apocalyptic number.

2677049856 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 2677049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557833280).

2677049856 is an abundant number, since it is smaller than the sum of its proper divisors (6438616704).

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

2677049856 is a wasteful number, since it uses less digits than its factorization.

2677049856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2677049856 is about 51740.2150749299. The cubic root of 2677049856 is about 1388.5200430974.

The spelling of 2677049856 in words is "two billion, six hundred seventy-seven million, forty-nine thousand, eight hundred fifty-six".