2216306400 has 576 divisors, whose sum is σ = 9179412480. Its totient is φ = 451123200.

The previous prime is 2216306399. The next prime is 2216306431. The reversal of 2216306400 is 46036122.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12381511 + ... + 12381689.

It is an arithmetic number, because the mean of its divisors is an integer number (15936480).

Almost surely, 2^2216306400 is an apocalyptic number.

2216306400 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 2216306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589706240).

2216306400 is an abundant number, since it is smaller than the sum of its proper divisors (6963106080).

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

2216306400 is a wasteful number, since it uses less digits than its factorization.

2216306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2216306400 is about 47077.6634934233. The cubic root of 2216306400 is about 1303.7968682545.

The spelling of 2216306400 in words is "two billion, two hundred sixteen million, three hundred six thousand, four hundred".