2496743424 has 288 divisors, whose sum is σ = 8480122560. Its totient is φ = 692748288.

The previous prime is 2496743407. The next prime is 2496743453. The reversal of 2496743424 is 4243476942.

2496743424 is a `hidden beast` number, since 249 + 67 + 4 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2496743424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4773627 + ... + 4774149.

It is an arithmetic number, because the mean of its divisors is an integer number (29444870).

Almost surely, 2^2496743424 is an apocalyptic number.

2496743424 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 2496743424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240061280).

2496743424 is an abundant number, since it is smaller than the sum of its proper divisors (5983379136).

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

2496743424 is a wasteful number, since it uses less digits than its factorization.

2496743424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 572 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 2496743424 is about 49967.4236277997. The cubic root of 2496743424 is about 1356.6192384085.

The spelling of 2496743424 in words is "two billion, four hundred ninety-six million, seven hundred forty-three thousand, four hundred twenty-four".