2424479040 has 392 divisors, whose sum is σ = 9128211360. Its totient is φ = 611380224.

The previous prime is 2424479033. The next prime is 2424479041. The reversal of 2424479040 is 409744242.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2424478986 and 2424479004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424479041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4432047 + ... + 4432593.

Almost surely, 2^2424479040 is an apocalyptic number.

2424479040 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 2424479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564105680).

2424479040 is an abundant number, since it is smaller than the sum of its proper divisors (6703732320).

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

2424479040 is an equidigital number, since it uses as much as digits as its factorization.

2424479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2424479040 is about 49238.9991774813. Note that the first 3 decimals coincide. The cubic root of 2424479040 is about 1343.4024767360.

The spelling of 2424479040 in words is "two billion, four hundred twenty-four million, four hundred seventy-nine thousand, forty".