2672640 has 144 divisors (see below), whose sum is σ = 9582300. Its totient is φ = 688128.

The previous prime is 2672639. The next prime is 2672671. The reversal of 2672640 is 462762.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 9216 = 1632^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92146 + ... + 92174.

2^2672640 is an apocalyptic number.

2672640 is a gapful number since it is divisible by the number (20) 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 2672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791150).

2672640 is an abundant number, since it is smaller than the sum of its proper divisors (6909660).

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

2672640 is a wasteful number, since it uses less digits than its factorization.

2672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2672640 is about 1634.8210911289. The cubic root of 2672640 is about 138.7757196052.

The spelling of 2672640 in words is "two million, six hundred seventy-two thousand, six hundred forty".