2024440000 has 280 divisors, whose sum is σ = 5656039488. Its totient is φ = 712320000.

The previous prime is 2024439997. The next prime is 2024440009. The reversal of 2024440000 is 444202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2024440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18919947 + ... + 18920053.

Almost surely, 2^2024440000 is an apocalyptic number.

2024440000 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 2024440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828019744).

2024440000 is an abundant number, since it is smaller than the sum of its proper divisors (3631599488).

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

2024440000 is a wasteful number, since it uses less digits than its factorization.

2024440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2024440000 is about 44993.7773475400. Note that the first 3 decimals coincide. The cubic root of 2024440000 is about 1265.0323644123.

Adding to 2024440000 its reverse (444202), we get a palindrome (2024884202).

The spelling of 2024440000 in words is "two billion, twenty-four million, four hundred forty thousand".