2206166400 has 144 divisors (see below), whose sum is σ = 7872210060. Its totient is φ = 588303360.

The previous prime is 2206166363. The next prime is 2206166401. The reversal of 2206166400 is 46616022.

It is a happy number.

2206166400 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 16 + 640 + 0 = 666.

2206166400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206166401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9502 + ... + 67101.

Almost surely, 2^2206166400 is an apocalyptic number.

2206166400 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 2206166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936105030).

2206166400 is an abundant number, since it is smaller than the sum of its proper divisors (5666043660).

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

2206166400 is a wasteful number, since it uses less digits than its factorization.

2206166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76633 (or 76613 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2206166400 is about 46969.8456459035. The cubic root of 2206166400 is about 1301.8054598309.

The spelling of 2206166400 in words is "two billion, two hundred six million, one hundred sixty-six thousand, four hundred".