2216566400 has 192 divisors, whose sum is σ = 5711014680. Its totient is φ = 849346560.

The previous prime is 2216566381. The next prime is 2216566459. The reversal of 2216566400 is 46656122.

It can be written as a sum of positive squares in 12 ways, for example, as 215972416 + 2000593984 = 14696^2 + 44728^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 11484704 + ... + 11484896.

Almost surely, 2^2216566400 is an apocalyptic number.

2216566400 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 2216566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855507340).

2216566400 is an abundant number, since it is smaller than the sum of its proper divisors (3494448280).

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

2216566400 is a wasteful number, since it uses less digits than its factorization.

2216566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2216566400 is about 47080.4248069195. The cubic root of 2216566400 is about 1303.8478500638.

The spelling of 2216566400 in words is "two billion, two hundred sixteen million, five hundred sixty-six thousand, four hundred".