2024000000000 has 520 divisors, whose sum is σ = 5759296285248. Its totient is φ = 704000000000.

The previous prime is 2023999999999. The next prime is 2024000000039. The reversal of 2024000000000 is 4202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87999999989 + ... + 88000000011.

Almost surely, 2^{2024000000000} is an apocalyptic number.

2024000000000 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 2024000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879648142624).

2024000000000 is an abundant number, since it is smaller than the sum of its proper divisors (3735296285248).

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

2024000000000 is an frugal number, since it uses more digits than its factorization.

2024000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 2024000000000 its reverse (4202), we get a palindrome (2024000004202).

The spelling of 2024000000000 in words is "two trillion, twenty-four billion", and thus it is an aban number.