2677248 has 120 divisors (see below), whose sum is σ = 8936928. Its totient is φ = 755712.

The previous prime is 2677217. The next prime is 2677267. The reversal of 2677248 is 8427762.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32215 + ... + 32297.

2^2677248 is an apocalyptic number.

2677248 is a gapful number since it is divisible by the number (28) 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 2677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468464).

2677248 is an abundant number, since it is smaller than the sum of its proper divisors (6259680).

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

2677248 is an equidigital number, since it uses as much as digits as its factorization.

2677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2677248 is about 1636.2298127097. The cubic root of 2677248 is about 138.8554299728.

The spelling of 2677248 in words is "two million, six hundred seventy-seven thousand, two hundred forty-eight".