24719940 has 144 divisors (see below), whose sum is σ = 89526528. Its totient is φ = 5398272.

The previous prime is 24719911. The next prime is 24719941. The reversal of 24719940 is 4991742.

24719940 = 225² + 226² + ... + 440².

It is a super-2 number, since 2×24719940² = 1222150867207200, which contains 22 as substring.

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 = 24719895 and 24719904.

It is not an unprimeable number, because it can be changed into a prime (24719941) 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, 28554 + ... + 29406.

It is an arithmetic number, because the mean of its divisors is an integer number (621712).

Almost surely, 2^24719940 is an apocalyptic number.

24719940 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 24719940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44763264).

24719940 is an abundant number, since it is smaller than the sum of its proper divisors (64806588).

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

24719940 is a wasteful number, since it uses less digits than its factorization.

24719940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 24719940 is about 4971.9151239739. The cubic root of 24719940 is about 291.3058038676.

The spelling of 24719940 in words is "twenty-four million, seven hundred nineteen thousand, nine hundred forty".