2122322400 has 432 divisors, whose sum is σ = 8267470848. Its totient is φ = 508032000.

The previous prime is 2122322383. The next prime is 2122322467. The reversal of 2122322400 is 42232212.

2122322400 is a `hidden beast` number, since 21 + 223 + 22 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10058295 + ... + 10058505.

It is an arithmetic number, because the mean of its divisors is an integer number (19137664).

Almost surely, 2^2122322400 is an apocalyptic number.

2122322400 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 2122322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133735424).

2122322400 is an abundant number, since it is smaller than the sum of its proper divisors (6145148448).

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

2122322400 is a wasteful number, since it uses less digits than its factorization.

2122322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

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

The square root of 2122322400 is about 46068.6704822269. The cubic root of 2122322400 is about 1285.1005790653.

Adding to 2122322400 its reverse (42232212), we get a palindrome (2164554612).

The spelling of 2122322400 in words is "two billion, one hundred twenty-two million, three hundred twenty-two thousand, four hundred".