2024484400 has 60 divisors (see below), whose sum is σ = 4912078464. Its totient is φ = 801760000.

The previous prime is 2024484373. The next prime is 2024484401. The reversal of 2024484400 is 44844202.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2024484401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15345 + ... + 65455.

Almost surely, 2^2024484400 is an apocalyptic number.

2024484400 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 2024484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456039232).

2024484400 is an abundant number, since it is smaller than the sum of its proper divisors (2887594064).

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

2024484400 is a wasteful number, since it uses less digits than its factorization.

2024484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50230 (or 50219 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 2024484400 is about 44994.2707463961. The cubic root of 2024484400 is about 1265.0416125708.

The spelling of 2024484400 in words is "two billion, twenty-four million, four hundred eighty-four thousand, four hundred".