2424987936 has 384 divisors, whose sum is σ = 8709120000. Its totient is φ = 640991232.

The previous prime is 2424987893. The next prime is 2424987937. The reversal of 2424987936 is 6397894242.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (2424987937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5400640 + ... + 5401088.

It is an arithmetic number, because the mean of its divisors is an integer number (22680000).

Almost surely, 2^2424987936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560000).

2424987936 is an abundant number, since it is smaller than the sum of its proper divisors (6284132064).

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

2424987936 is a wasteful number, since it uses less digits than its factorization.

2424987936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 2424987936 is about 49244.1665174668. The cubic root of 2424987936 is about 1343.4964631565.

The spelling of 2424987936 in words is "two billion, four hundred twenty-four million, nine hundred eighty-seven thousand, nine hundred thirty-six".