2656672 has 24 divisors (see below), whose sum is σ = 5319972. Its totient is φ = 1305600.

The previous prime is 2656663. The next prime is 2656673. The reversal of 2656672 is 2766562.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2085136 + 571536 = 1444^2 + 756^2 .

It is a super-2 number, since 2×2656672² = 14115812231168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2656673) 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 3 ways as a sum of consecutive naturals, for example, 1272 + ... + 2632.

2^2656672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659986).

2656672 is an abundant number, since it is smaller than the sum of its proper divisors (2663300).

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

2656672 is a wasteful number, since it uses less digits than its factorization.

2656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1424 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 2656672 is about 1629.9300598492. The cubic root of 2656672 is about 138.4987901036.

The spelling of 2656672 in words is "two million, six hundred fifty-six thousand, six hundred seventy-two".