2024040000 has 280 divisors, whose sum is σ = 6798673728. Its totient is φ = 531200000.

The previous prime is 2024039981. The next prime is 2024040001. The reversal of 2024040000 is 404202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2024040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12119917 + ... + 12120083.

Almost surely, 2^2024040000 is an apocalyptic number.

2024040000 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 2024040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399336864).

2024040000 is an abundant number, since it is smaller than the sum of its proper divisors (4774633728).

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

2024040000 is a wasteful number, since it uses less digits than its factorization.

2024040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2024040000 is about 44989.3320688361. The cubic root of 2024040000 is about 1264.9490415713.

Adding to 2024040000 its reverse (404202), we get a palindrome (2024444202).

The spelling of 2024040000 in words is "two billion, twenty-four million, forty thousand".