24642240 has 224 divisors, whose sum is σ = 94609920. Its totient is φ = 5308416.

The previous prime is 24642229. The next prime is 24642251. The reversal of 24642240 is 4224642.

It is an interprime number because it is at equal distance from previous prime (24642229) and next prime (24642251).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 24642240.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 386 × 190 × 336.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127584 + ... + 127776.

Almost surely, 2^24642240 is an apocalyptic number.

24642240 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 24642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47304960).

24642240 is an abundant number, since it is smaller than the sum of its proper divisors (69967680).

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

24642240 is a wasteful number, since it uses less digits than its factorization.

24642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 24642240 is about 4964.0950836985. The cubic root of 24642240 is about 291.0002716073. Note that the first 3 decimals are identical.

Adding to 24642240 its reverse (4224642), we get a palindrome (28866882).

It can be divided in two parts, 246 and 42240, that added together give a triangular number (42486 = T₂₉₁).

The spelling of 24642240 in words is "twenty-four million, six hundred forty-two thousand, two hundred forty".