24942480 has 80 divisors (see below), whose sum is σ = 78149760. Its totient is φ = 6580224.

The previous prime is 24942469. The next prime is 24942481. The reversal of 24942480 is 8424942.

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

It is not an unprimeable number, because it can be changed into a prime (24942481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24216 + ... + 25224.

It is an arithmetic number, because the mean of its divisors is an integer number (976872).

Almost surely, 2^24942480 is an apocalyptic number.

24942480 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 24942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39074880).

24942480 is an abundant number, since it is smaller than the sum of its proper divisors (53207280).

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

24942480 is a wasteful number, since it uses less digits than its factorization.

24942480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 24942480 is about 4994.2446876380. The cubic root of 24942480 is about 292.1773489472.

The spelling of 24942480 in words is "twenty-four million, nine hundred forty-two thousand, four hundred eighty".