2544768 has 72 divisors (see below), whose sum is σ = 7481955. Its totient is φ = 830208.

The previous prime is 2544767. The next prime is 2544769. The reversal of 2544768 is 8674452.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2544767) and next prime (2544769).

It can be written as a sum of positive squares in only one way, i.e., 1272384 + 1272384 = 1128^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁹ + 5⁹ + 4 + 4⁸ + 7 + 6⁴ + 8³ .

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2544761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54121 + ... + 54167.

2^2544768 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 2544768

2544768 is an abundant number, since it is smaller than the sum of its proper divisors (4937187).

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

2544768 is an equidigital number, since it uses as much as digits as its factorization.

2544768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 52 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2544768 is about 1595.2328983569. The cubic root of 2544768 is about 136.5262196543.

The spelling of 2544768 in words is "two million, five hundred forty-four thousand, seven hundred sixty-eight".