2220134400 has 624 divisors, whose sum is σ = 9019273920. Its totient is φ = 530841600.

The previous prime is 2220134369. The next prime is 2220134417. The reversal of 2220134400 is 44310222.

2220134400 is a `hidden beast` number, since 2 + 220 + 1 + 3 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30412764 + ... + 30412836.

Almost surely, 2^2220134400 is an apocalyptic number.

2220134400 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 2220134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509636960).

2220134400 is an abundant number, since it is smaller than the sum of its proper divisors (6799139520).

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

2220134400 is a wasteful number, since it uses less digits than its factorization.

2220134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2220134400 is about 47118.3021765428. The cubic root of 2220134400 is about 1304.5470749530.

Adding to 2220134400 its reverse (44310222), we get a palindrome (2264444622).

The spelling of 2220134400 in words is "two billion, two hundred twenty million, one hundred thirty-four thousand, four hundred".