2413334000 has 160 divisors (see below), whose sum is σ = 7275820032. Its totient is φ = 752160000.

The previous prime is 2413333943. The next prime is 2413334003. The reversal of 2413334000 is 4333142.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413334003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146165 + ... + 161835.

Almost surely, 2^2413334000 is an apocalyptic number.

2413334000 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 2413334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637910016).

2413334000 is an abundant number, since it is smaller than the sum of its proper divisors (4862486032).

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

2413334000 is a wasteful number, since it uses less digits than its factorization.

2413334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712 (or 15696 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2413334000 is about 49125.6959238238. The cubic root of 2413334000 is about 1341.3408276450.

Adding to 2413334000 its reverse (4333142), we get a palindrome (2417667142).

The spelling of 2413334000 in words is "two billion, four hundred thirteen million, three hundred thirty-four thousand".