2213409744 has 240 divisors, whose sum is σ = 7770252672. Its totient is φ = 572562432.

The previous prime is 2213409733. The next prime is 2213409749. The reversal of 2213409744 is 4479043122.

2213409744 is a `hidden beast` number, since 221 + 340 + 97 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2213409699 and 2213409708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213409749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692919 + ... + 696105.

Almost surely, 2^2213409744 is an apocalyptic number.

2213409744 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 2213409744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885126336).

2213409744 is an abundant number, since it is smaller than the sum of its proper divisors (5556842928).

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

2213409744 is a wasteful number, since it uses less digits than its factorization.

2213409744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2213409744 is about 47046.8887812999. Note that the first 3 decimals coincide. The cubic root of 2213409744 is about 1303.2286108532.

The spelling of 2213409744 in words is "two billion, two hundred thirteen million, four hundred nine thousand, seven hundred forty-four".