2677456680 has 128 divisors (see below), whose sum is σ = 8507289600. Its totient is φ = 672705792.

The previous prime is 2677456679. The next prime is 2677456681. The reversal of 2677456680 is 866547762.

It is an interprime number because it is at equal distance from previous prime (2677456679) and next prime (2677456681).

It is not an unprimeable number, because it can be changed into a prime (2677456681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177681 + ... + 192159.

It is an arithmetic number, because the mean of its divisors is an integer number (66463200).

Almost surely, 2^2677456680 is an apocalyptic number.

2677456680 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 2677456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253644800).

2677456680 is an abundant number, since it is smaller than the sum of its proper divisors (5829832920).

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

2677456680 is a wasteful number, since it uses less digits than its factorization.

2677456680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14583 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The square root of 2677456680 is about 51744.1463356001. The cubic root of 2677456680 is about 1388.5903760754.

The spelling of 2677456680 in words is "two billion, six hundred seventy-seven million, four hundred fifty-six thousand, six hundred eighty".