2541744 has 60 divisors (see below), whose sum is σ = 7495800. Its totient is φ = 801792.

The previous prime is 2541743. The next prime is 2541757. The reversal of 2541744 is 4471452.

It is not an unprimeable number, because it can be changed into a prime (2541743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2272 + ... + 3200.

It is an arithmetic number, because the mean of its divisors is an integer number (124930).

2^2541744 is an apocalyptic number.

2541744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747900).

2541744 is an abundant number, since it is smaller than the sum of its proper divisors (4954056).

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

2541744 is a wasteful number, since it uses less digits than its factorization.

2541744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 953 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 2541744 is about 1594.2847926265. The cubic root of 2541744 is about 136.4721192503.

The spelling of 2541744 in words is "two million, five hundred forty-one thousand, seven hundred forty-four".