2677986760 has 16 divisors (see below), whose sum is σ = 6025470300. Its totient is φ = 1071194688.

The previous prime is 2677986721. The next prime is 2677986763. The reversal of 2677986760 is 676897762.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2305728324 + 372258436 = 48018^2 + 19294^2 .

It is a super-2 number, since 2×2677986760² = 14343226173470595200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2677986695 and 2677986704.

It is not an unprimeable number, because it can be changed into a prime (2677986763) 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 3 ways as a sum of consecutive naturals, for example, 33474795 + ... + 33474874.

Almost surely, 2^2677986760 is an apocalyptic number.

2677986760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2677986760 is an abundant number, since it is smaller than the sum of its proper divisors (3347483540).

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

2677986760 is a wasteful number, since it uses less digits than its factorization.

2677986760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66949680 (or 66949676 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 58.

The square root of 2677986760 is about 51749.2682073863. The cubic root of 2677986760 is about 1388.6820072394.

The spelling of 2677986760 in words is "two billion, six hundred seventy-seven million, nine hundred eighty-six thousand, seven hundred sixty".