2413213000 has 128 divisors (see below), whose sum is σ = 6240499200. Its totient is φ = 866112000.

The previous prime is 2413212983. The next prime is 2413213003. The reversal of 2413213000 is 3123142.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2413213003) 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, 867612 + ... + 870388.

It is an arithmetic number, because the mean of its divisors is an integer number (48753900).

Almost surely, 2^2413213000 is an apocalyptic number.

2413213000 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 2413213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120249600).

2413213000 is an abundant number, since it is smaller than the sum of its proper divisors (3827286200).

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

2413213000 is a wasteful number, since it uses less digits than its factorization.

2413213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2413213000 is about 49124.4643736703. The cubic root of 2413213000 is about 1341.3184098400.

Adding to 2413213000 its reverse (3123142), we get a palindrome (2416336142).

The spelling of 2413213000 in words is "two billion, four hundred thirteen million, two hundred thirteen thousand".