2672649 has 32 divisors (see below), whose sum is σ = 4608000. Its totient is φ = 1499472.

The previous prime is 2672639. The next prime is 2672671. The reversal of 2672649 is 9462762.

It is a happy number.

2672649 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 649 = 666.

It is not a de Polignac number, because 2672649 - 2⁴ = 2672633 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672629) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14842 + ... + 15020.

It is an arithmetic number, because the mean of its divisors is an integer number (144000).

2^2672649 is an apocalyptic number.

It is an amenable number.

2672649 is a deficient number, since it is larger than the sum of its proper divisors (1935351).

2672649 is a wasteful number, since it uses less digits than its factorization.

2672649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2672649 is about 1634.8238437214. The cubic root of 2672649 is about 138.7758753787.

It can be divided in two parts, 2672 and 649, that added together give a triangular number (3321 = T₈₁).

The spelling of 2672649 in words is "two million, six hundred seventy-two thousand, six hundred forty-nine".