2544672 has 48 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 782592.

The previous prime is 2544643. The next prime is 2544691. The reversal of 2544672 is 2764452.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 2¹⁵ + 5⁹ + 4 + 4⁷ + 6⁴ + 7⁵ + 2¹⁹ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

2^2544672 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 2544672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560).

2544672 is an abundant number, since it is smaller than the sum of its proper divisors (4652448).

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

2544672 is a wasteful number, since it uses less digits than its factorization.

2544672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2057 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 2544672 is about 1595.2028084228. The cubic root of 2544672 is about 136.5245028401.

The spelling of 2544672 in words is "two million, five hundred forty-four thousand, six hundred seventy-two".