2637672 has 16 divisors (see below), whose sum is σ = 6594240. Its totient is φ = 879216.

The previous prime is 2637671. The next prime is 2637673. The reversal of 2637672 is 2767362.

2637672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2637671) and next prime (2637673).

It is a super-3 number, since 3×2637672³ = 55053333672265465344, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2637671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54928 + ... + 54975.

It is an arithmetic number, because the mean of its divisors is an integer number (412140).

2^2637672 is an apocalyptic number.

It is an amenable number.

2637672 is an abundant number, since it is smaller than the sum of its proper divisors (3956568).

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

2637672 is a wasteful number, since it uses less digits than its factorization.

2637672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109912 (or 109908 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 2637672 is about 1624.0911304480. The cubic root of 2637672 is about 138.1678277408.

The spelling of 2637672 in words is "two million, six hundred thirty-seven thousand, six hundred seventy-two".