2224166400 has 360 divisors, whose sum is σ = 8162926200. Its totient is φ = 578027520.

The previous prime is 2224166363. The next prime is 2224166407. The reversal of 2224166400 is 46614222.

2224166400 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 16 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224166407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4953376 + ... + 4953824.

It is an arithmetic number, because the mean of its divisors is an integer number (22674795).

Almost surely, 2^2224166400 is an apocalyptic number.

2224166400 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 2224166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081463100).

2224166400 is an abundant number, since it is smaller than the sum of its proper divisors (5938759800).

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

2224166400 is a wasteful number, since it uses less digits than its factorization.

2224166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2224166400 is about 47161.0686901813. The cubic root of 2224166400 is about 1305.3363293957.

The spelling of 2224166400 in words is "two billion, two hundred twenty-four million, one hundred sixty-six thousand, four hundred".