2413213002 has 72 divisors (see below), whose sum is σ = 5571180576. Its totient is φ = 754786944.

The previous prime is 2413212983. The next prime is 2413213003. The reversal of 2413213002 is 2003123142.

2413213002 is a `hidden beast` number, since 2 + 41 + 321 + 300 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2413213003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2720203 + ... + 2721089.

It is an arithmetic number, because the mean of its divisors is an integer number (77377508).

Almost surely, 2^2413213002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413213002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785590288).

2413213002 is an abundant number, since it is smaller than the sum of its proper divisors (3157967574).

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

2413213002 is a wasteful number, since it uses less digits than its factorization.

2413213002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2413213002 is about 49124.4643940267. The cubic root of 2413213002 is about 1341.3184102106.

Adding to 2413213002 its reverse (2003123142), we get a palindrome (4416336144).

The spelling of 2413213002 in words is "two billion, four hundred thirteen million, two hundred thirteen thousand, two".