2677945680 has 120 divisors (see below), whose sum is σ = 9043561800. Its totient is φ = 710138880.

The previous prime is 2677945679. The next prime is 2677945687. The reversal of 2677945680 is 865497762.

2677945680 is a `hidden beast` number, since 2 + 6 + 7 + 79 + 4 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 240746256 + 2437199424 = 15516^2 + 49368^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677945687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120046 + ... + 140594.

It is an arithmetic number, because the mean of its divisors is an integer number (75363015).

Almost surely, 2^2677945680 is an apocalyptic number.

2677945680 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 2677945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521780900).

2677945680 is an abundant number, since it is smaller than the sum of its proper divisors (6365616120).

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

2677945680 is a wasteful number, since it uses less digits than its factorization.

2677945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20749 (or 20740 counting only the distinct ones).

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

The square root of 2677945680 is about 51748.8712920388. The cubic root of 2677945680 is about 1388.6749064639.

The spelling of 2677945680 in words is "two billion, six hundred seventy-seven million, nine hundred forty-five thousand, six hundred eighty".