2024413000 has 32 divisors (see below), whose sum is σ = 4737128760. Its totient is φ = 809764800.

The previous prime is 2024412977. The next prime is 2024413003. The reversal of 2024413000 is 3144202.

It can be written as a sum of positive squares in 4 ways, for example, as 1208396644 + 816016356 = 34762^2 + 28566^2 .

It is not an unprimeable number, because it can be changed into a prime (2024413003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011207 + ... + 1013206.

Almost surely, 2^2024413000 is an apocalyptic number.

2024413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024413000 is an abundant number, since it is smaller than the sum of its proper divisors (2712715760).

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

2024413000 is a wasteful number, since it uses less digits than its factorization.

2024413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024434 (or 2024420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2024413000 is about 44993.4773050495. The cubic root of 2024413000 is about 1265.0267404659.

Adding to 2024413000 its reverse (3144202), we get a palindrome (2027557202).

The spelling of 2024413000 in words is "two billion, twenty-four million, four hundred thirteen thousand".