2559672 has 48 divisors (see below), whose sum is σ = 7041840. Its totient is φ = 839808.

The previous prime is 2559631. The next prime is 2559677. The reversal of 2559672 is 2769552.

2559672 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559677) 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, 5013 + ... + 5499.

It is an arithmetic number, because the mean of its divisors is an integer number (146705).

2^2559672 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 2559672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520920).

2559672 is an abundant number, since it is smaller than the sum of its proper divisors (4482168).

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

2559672 is a wasteful number, since it uses less digits than its factorization.

With its successor (2559673) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (572).

2559672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 565 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2559672 is about 1599.8974967166. The cubic root of 2559672 is about 136.7922330668.

The spelling of 2559672 in words is "two million, five hundred fifty-nine thousand, six hundred seventy-two".