24978240 has 336 divisors, whose sum is σ = 104241600. Its totient is φ = 5612544.

The previous prime is 24978223. The next prime is 24978241. The reversal of 24978240 is 4287942.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 24978195 and 24978204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24978241) by changing a digit.

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, 423331 + ... + 423389.

Almost surely, 2^24978240 is an apocalyptic number.

24978240 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 24978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52120800).

24978240 is an abundant number, since it is smaller than the sum of its proper divisors (79263360).

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

24978240 is a wasteful number, since it uses less digits than its factorization.

24978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 24978240 is about 4997.8235262962. The cubic root of 24978240 is about 292.3169136945.

The spelling of 24978240 in words is "twenty-four million, nine hundred seventy-eight thousand, two hundred forty".