2472509424 has 240 divisors, whose sum is σ = 8160656256. Its totient is φ = 637862400.

The previous prime is 2472509419. The next prime is 2472509443. The reversal of 2472509424 is 4249052742.

It is a super-2 number, since 2×2472509424² = 12226605703537623552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5872734 + ... + 5873154.

Almost surely, 2^2472509424 is an apocalyptic number.

2472509424 is a gapful number since it is divisible by the number (24) 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 2472509424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080328128).

2472509424 is an abundant number, since it is smaller than the sum of its proper divisors (5688146832).

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

2472509424 is a wasteful number, since it uses less digits than its factorization.

2472509424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2472509424 is about 49724.3343243527. The cubic root of 2472509424 is about 1352.2157347464.

The spelling of 2472509424 in words is "two billion, four hundred seventy-two million, five hundred nine thousand, four hundred twenty-four".