2213318400 has 216 divisors, whose sum is σ = 7735223664. Its totient is φ = 555417600.

The previous prime is 2213318369. The next prime is 2213318411. The reversal of 2213318400 is 48133122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323010 + ... + 329790.

Almost surely, 2^2213318400 is an apocalyptic number.

2213318400 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 2213318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867611832).

2213318400 is an abundant number, since it is smaller than the sum of its proper divisors (5521905264).

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

2213318400 is a wasteful number, since it uses less digits than its factorization.

2213318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2213318400 is about 47045.9179950822. The cubic root of 2213318400 is about 1303.2106831963.

The spelling of 2213318400 in words is "two billion, two hundred thirteen million, three hundred eighteen thousand, four hundred".