2153222400 has 432 divisors, whose sum is σ = 8359992704. Its totient is φ = 477757440.

The previous prime is 2153222399. The next prime is 2153222413. The reversal of 2153222400 is 42223512.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 4972584 + ... + 4973016.

Almost surely, 2^2153222400 is an apocalyptic number.

2153222400 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 2153222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179996352).

2153222400 is an abundant number, since it is smaller than the sum of its proper divisors (6206770304).

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

2153222400 is a wasteful number, since it uses less digits than its factorization.

2153222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2153222400 is about 46402.8275000565. The cubic root of 2153222400 is about 1291.3073699695.

Adding to 2153222400 its reverse (42223512), we get a palindrome (2195445912).

The spelling of 2153222400 in words is "two billion, one hundred fifty-three million, two hundred twenty-two thousand, four hundred".