2216666400 has 288 divisors, whose sum is σ = 8110730880. Its totient is φ = 521748480.

The previous prime is 2216666357. The next prime is 2216666429. The reversal of 2216666400 is 46666122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716056 + ... + 719144.

It is an arithmetic number, because the mean of its divisors is an integer number (28162260).

Almost surely, 2^2216666400 is an apocalyptic number.

2216666400 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 2216666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055365440).

2216666400 is an abundant number, since it is smaller than the sum of its proper divisors (5894064480).

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

2216666400 is a wasteful number, since it uses less digits than its factorization.

2216666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2216666400 is about 47081.4868074491. The cubic root of 2216666400 is about 1303.8674573904.

The spelling of 2216666400 in words is "two billion, two hundred sixteen million, six hundred sixty-six thousand, four hundred".