2213124004 has 72 divisors (see below), whose sum is σ = 4877583480. Its totient is φ = 870879744.

The previous prime is 2213123999. The next prime is 2213124037. The reversal of 2213124004 is 4004213122.

2213124004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 151782400 + 2061341604 = 12320^2 + 45402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499752 + ... + 504160.

It is an arithmetic number, because the mean of its divisors is an integer number (67744215).

Almost surely, 2^2213124004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213124004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438791740).

2213124004 is an abundant number, since it is smaller than the sum of its proper divisors (2664459476).

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

2213124004 is a wasteful number, since it uses less digits than its factorization.

2213124004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2213124004 is about 47043.8519256236. The cubic root of 2213124004 is about 1303.1725283663.

Adding to 2213124004 its reverse (4004213122), we get a palindrome (6217337126).

The spelling of 2213124004 in words is "two billion, two hundred thirteen million, one hundred twenty-four thousand, four".