24742560 has 96 divisors (see below), whose sum is σ = 82071360. Its totient is φ = 6248448.

The previous prime is 24742559. The next prime is 24742561. The reversal of 24742560 is 6524742.

It is an interprime number because it is at equal distance from previous prime (24742559) and next prime (24742561).

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

It is a super-2 number, since 2×24742560² = 1224388550707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (24742561) 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 15 ways as a sum of consecutive naturals, for example, 7764 + ... + 10476.

It is an arithmetic number, because the mean of its divisors is an integer number (854910).

Almost surely, 2^24742560 is an apocalyptic number.

24742560 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 24742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41035680).

24742560 is an abundant number, since it is smaller than the sum of its proper divisors (57328800).

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

24742560 is a wasteful number, since it uses less digits than its factorization.

24742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 24742560 is about 4974.1893811957. The cubic root of 24742560 is about 291.3946299791.

The spelling of 24742560 in words is "twenty-four million, seven hundred forty-two thousand, five hundred sixty".