2523744 has 96 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 798336.

The previous prime is 2523743. The next prime is 2523749. The reversal of 2523744 is 4473252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19809 + ... + 19935.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2^2523744 is an apocalyptic number.

2523744 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 2523744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2523744 is an abundant number, since it is smaller than the sum of its proper divisors (5217696).

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

2523744 is a wasteful number, since it uses less digits than its factorization.

2523744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 2523744 is about 1588.6295981128. The cubic root of 2523744 is about 136.1492018834.

Adding to 2523744 its reverse (4473252), we get a palindrome (6996996).

It can be divided in two parts, 25237 and 44, that added together give a square (25281 = 159²).

The spelling of 2523744 in words is "two million, five hundred twenty-three thousand, seven hundred forty-four".