24125040 has 240 divisors, whose sum is σ = 90181728. Its totient is φ = 5971968.

The previous prime is 24125027. The next prime is 24125063. The reversal of 24125040 is 4052142.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 330444 + ... + 330516.

Almost surely, 2^24125040 is an apocalyptic number.

24125040 is a gapful number since it is divisible by the number (20) 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 24125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45090864).

24125040 is an abundant number, since it is smaller than the sum of its proper divisors (66056688).

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

24125040 is a wasteful number, since it uses less digits than its factorization.

24125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 24125040 is about 4911.7247479882. The cubic root of 24125040 is about 288.9499879535.

Adding to 24125040 its reverse (4052142), we get a palindrome (28177182).

It can be divided in two parts, 241 and 25040, that added together give a square (25281 = 159²).

The spelling of 24125040 in words is "twenty-four million, one hundred twenty-five thousand, forty".