2156211200 has 528 divisors, whose sum is σ = 6822896640. Its totient is φ = 663552000.

The previous prime is 2156211179. The next prime is 2156211217. The reversal of 2156211200 is 21126512.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 69555185 + ... + 69555215.

Almost surely, 2^2156211200 is an apocalyptic number.

2156211200 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 2156211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411448320).

2156211200 is an abundant number, since it is smaller than the sum of its proper divisors (4666685440).

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

2156211200 is a wasteful number, since it uses less digits than its factorization.

2156211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 2156211200 is about 46435.0212662813. The cubic root of 2156211200 is about 1291.9045640670.

Adding to 2156211200 its reverse (21126512), we get a palindrome (2177337712).

The spelling of 2156211200 in words is "two billion, one hundred fifty-six million, two hundred eleven thousand, two hundred".