2024040800 has 72 divisors (see below), whose sum is σ = 4992321096. Its totient is φ = 801239040.

The previous prime is 2024040773. The next prime is 2024040833. The reversal of 2024040800 is 80404202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64559 + ... + 90641.

It is an arithmetic number, because the mean of its divisors is an integer number (69337793).

Almost surely, 2^2024040800 is an apocalyptic number.

2024040800 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 2024040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496160548).

2024040800 is an abundant number, since it is smaller than the sum of its proper divisors (2968280296).

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

2024040800 is a wasteful number, since it uses less digits than its factorization.

2024040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26200 (or 26187 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2024040800 is about 44989.3409598318. The cubic root of 2024040800 is about 1264.9492082280.

The spelling of 2024040800 in words is "two billion, twenty-four million, forty thousand, eight hundred".