24742440 has 48 divisors (see below), whose sum is σ = 80414100. Its totient is φ = 6597888.

The previous prime is 24742409. The next prime is 24742441. The reversal of 24742440 is 4424742.

It can be written as a sum of positive squares in 2 ways, for example, as 24740676 + 1764 = 4974^2 + 42^2 .

It is a super-2 number, since 2×24742440² = 1224376674307200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24742441) 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 11 ways as a sum of consecutive naturals, for example, 34005 + ... + 34724.

Almost surely, 2^24742440 is an apocalyptic number.

24742440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24742440 is an abundant number, since it is smaller than the sum of its proper divisors (55671660).

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

24742440 is a wasteful number, since it uses less digits than its factorization.

24742440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68746 (or 68739 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 24742440 is about 4974.1773189142. The cubic root of 24742440 is about 291.3941588960.

The spelling of 24742440 in words is "twenty-four million, seven hundred forty-two thousand, four hundred forty".