2613672 has 48 divisors (see below), whose sum is σ = 7313280. Its totient is φ = 842400.

The previous prime is 2613671. The next prime is 2613673. The reversal of 2613672 is 2763162.

It is a happy number.

2613672 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 (2613671) and next prime (2613673).

It is not an unprimeable number, because it can be changed into a prime (2613671) 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 11 ways as a sum of consecutive naturals, for example, 1647 + ... + 2817.

It is an arithmetic number, because the mean of its divisors is an integer number (152360).

2^2613672 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 2613672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656640).

2613672 is an abundant number, since it is smaller than the sum of its proper divisors (4699608).

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

2613672 is a wasteful number, since it uses less digits than its factorization.

2613672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1207 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2613672 is about 1616.6854981721. The cubic root of 2613672 is about 137.7474903556.

The spelling of 2613672 in words is "two million, six hundred thirteen thousand, six hundred seventy-two".