2213971200 has 972 divisors, whose sum is σ = 10115428960. Its totient is φ = 451215360.

The previous prime is 2213971189. The next prime is 2213971213. The reversal of 2213971200 is 21793122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 116524791 + ... + 116524809.

Almost surely, 2^2213971200 is an apocalyptic number.

2213971200 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 2213971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057714480).

2213971200 is an abundant number, since it is smaller than the sum of its proper divisors (7901457760).

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

2213971200 is a wasteful number, since it uses less digits than its factorization.

2213971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2213971200 is about 47052.8553862568. The cubic root of 2213971200 is about 1303.3387943480.

It can be divided in two parts, 22139 and 71200, that added together give a palindrome (93339).

The spelling of 2213971200 in words is "two billion, two hundred thirteen million, nine hundred seventy-one thousand, two hundred".