2607472 has 40 divisors (see below), whose sum is σ = 5967872. Its totient is φ = 1080000.

The previous prime is 2607469. The next prime is 2607481. The reversal of 2607472 is 2747062.

2607472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2607472.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3097 + ... + 3847.

2^2607472 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 2607472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983936).

2607472 is an abundant number, since it is smaller than the sum of its proper divisors (3360400).

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

2607472 is a wasteful number, since it uses less digits than its factorization.

2607472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2607472 is about 1614.7668562365. The cubic root of 2607472 is about 137.6384852690.

The spelling of 2607472 in words is "two million, six hundred seven thousand, four hundred seventy-two".