2216390400 has 648 divisors, whose sum is σ = 9489392640. Its totient is φ = 482549760.

The previous prime is 2216390399. The next prime is 2216390443. The reversal of 2216390400 is 40936122.

2216390400 is a `hidden beast` number, since 2 + 21 + 639 + 0 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9273481 + ... + 9273719.

Almost surely, 2^2216390400 is an apocalyptic number.

2216390400 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 2216390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744696320).

2216390400 is an abundant number, since it is smaller than the sum of its proper divisors (7273002240).

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

2216390400 is a wasteful number, since it uses less digits than its factorization.

2216390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2216390400 is about 47078.5556278015. Note that the first 3 decimals coincide. The cubic root of 2216390400 is about 1303.8133397365.

The spelling of 2216390400 in words is "two billion, two hundred sixteen million, three hundred ninety thousand, four hundred".