2671648 has 24 divisors (see below), whose sum is σ = 6011712. Its totient is φ = 1144896.

The previous prime is 2671631. The next prime is 2671649. The reversal of 2671648 is 8461762.

It is not an unprimeable number, because it can be changed into a prime (2671649) 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, 5740 + ... + 6187.

It is an arithmetic number, because the mean of its divisors is an integer number (250488).

2^2671648 is an apocalyptic number.

2671648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2671648 is an abundant number, since it is smaller than the sum of its proper divisors (3340064).

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

2671648 is a wasteful number, since it uses less digits than its factorization.

2671648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11944 (or 11936 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 2671648 is about 1634.5176658574. The cubic root of 2671648 is about 138.7585477514.

It can be divided in two parts, 267164 and 8, that multiplied together give a palindrome (2137312).

The spelling of 2671648 in words is "two million, six hundred seventy-one thousand, six hundred forty-eight".