2609712 has 80 divisors (see below), whose sum is σ = 8570880. Its totient is φ = 744768.

The previous prime is 2609701. The next prime is 2609731. The reversal of 2609712 is 2179062.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2593 + ... + 3455.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

2^2609712 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 2609712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285440).

2609712 is an abundant number, since it is smaller than the sum of its proper divisors (5961168).

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

2609712 is a wasteful number, since it uses less digits than its factorization.

2609712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2609712 is about 1615.4603059190. The cubic root of 2609712 is about 137.6778876687.

It can be divided in two parts, 2609 and 712, that added together give a triangular number (3321 = T₈₁).

The spelling of 2609712 in words is "two million, six hundred nine thousand, seven hundred twelve".