24121040 has 80 divisors (see below), whose sum is σ = 59795280. Its totient is φ = 9031680.

The previous prime is 24121039. The next prime is 24121049. The reversal of 24121040 is 4012142.

It can be written as a sum of positive squares in 8 ways, for example, as 1577536 + 22543504 = 1256^2 + 4748^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24121049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85700 + ... + 85980.

It is an arithmetic number, because the mean of its divisors is an integer number (747441).

Almost surely, 2^24121040 is an apocalyptic number.

24121040 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 24121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29897640).

24121040 is an abundant number, since it is smaller than the sum of its proper divisors (35674240).

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

24121040 is a wasteful number, since it uses less digits than its factorization.

24121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 24121040 is about 4911.3175421673. The cubic root of 24121040 is about 288.9340174951.

Adding to 24121040 its reverse (4012142), we get a palindrome (28133182).

The spelling of 24121040 in words is "twenty-four million, one hundred twenty-one thousand, forty".