2000240424 has 288 divisors, whose sum is σ = 6883269120. Its totient is φ = 510976512.

The previous prime is 2000240401. The next prime is 2000240449. The reversal of 2000240424 is 4240420002.

2000240424 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 240 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2000240397 and 2000240406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8969577 + ... + 8969799.

It is an arithmetic number, because the mean of its divisors is an integer number (23900240).

Almost surely, 2^2000240424 is an apocalyptic number.

2000240424 is a gapful number since it is divisible by the number (24) 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 2000240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441634560).

2000240424 is an abundant number, since it is smaller than the sum of its proper divisors (4883028696).

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

2000240424 is a wasteful number, since it uses less digits than its factorization.

2000240424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2000240424 is about 44724.0474912546. The cubic root of 2000240424 is about 1259.9715337484.

Adding to 2000240424 its reverse (4240420002), we get a palindrome (6240660426).

The spelling of 2000240424 in words is "two billion, two hundred forty thousand, four hundred twenty-four".