2677312 has 28 divisors (see below), whose sum is σ = 5797296. Its totient is φ = 1216640.

The previous prime is 2677291. The next prime is 2677319. The reversal of 2677312 is 2137762.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹¹ + 6⁶ + 7 + 7 + 3¹² + 1 + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2677319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1198 + ... + 2605.

2^2677312 is an apocalyptic number.

2677312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2677312 is an abundant number, since it is smaller than the sum of its proper divisors (3119984).

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

2677312 is a wasteful number, since it uses less digits than its factorization.

2677312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3816 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 2677312 is about 1636.2493697478. The cubic root of 2677312 is about 138.8565364171.

The spelling of 2677312 in words is "two million, six hundred seventy-seven thousand, three hundred twelve".