2024440960 has 64 divisors (see below), whose sum is σ = 4877982720. Its totient is φ = 803367936.

The previous prime is 2024440939. The next prime is 2024441021. The reversal of 2024440960 is 690444202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2024440960² = 8196722401051443200, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68827 + ... + 93733.

It is an arithmetic number, because the mean of its divisors is an integer number (76218480).

Almost surely, 2^2024440960 is an apocalyptic number.

2024440960 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 2024440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438991360).

2024440960 is an abundant number, since it is smaller than the sum of its proper divisors (2853541760).

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

2024440960 is a wasteful number, since it uses less digits than its factorization.

2024440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25053 (or 25041 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2024440960 is about 44993.7880156806. The cubic root of 2024440960 is about 1265.0325643739.

The spelling of 2024440960 in words is "two billion, twenty-four million, four hundred forty thousand, nine hundred sixty".