2424972816 has 120 divisors (see below), whose sum is σ = 8043415744. Its totient is φ = 692841600.

The previous prime is 2424972811. The next prime is 2424972877. The reversal of 2424972816 is 6182794242.

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 (2424972811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17335 + ... + 71766.

Almost surely, 2^2424972816 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 2424972816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021707872).

2424972816 is an abundant number, since it is smaller than the sum of its proper divisors (5618442928).

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

2424972816 is an equidigital number, since it uses as much as digits as its factorization.

2424972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89131 (or 89113 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2424972816 is about 49244.0129965055. The cubic root of 2424972816 is about 1343.4936708802.

The spelling of 2424972816 in words is "two billion, four hundred twenty-four million, nine hundred seventy-two thousand, eight hundred sixteen".