2155219200 has 648 divisors, whose sum is σ = 8540453376. Its totient is φ = 516096000.

The previous prime is 2155219193. The next prime is 2155219237. The reversal of 2155219200 is 29125512.

2155219200 is a `hidden beast` number, since 21 + 552 + 1 + 92 + 0 + 0 = 666.

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, 30355165 + ... + 30355235.

It is an arithmetic number, because the mean of its divisors is an integer number (13179712).

Almost surely, 2^2155219200 is an apocalyptic number.

2155219200 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 2155219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270226688).

2155219200 is an abundant number, since it is smaller than the sum of its proper divisors (6385234176).

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

2155219200 is a wasteful number, since it uses less digits than its factorization.

2155219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 2155219200 is about 46424.3384443979. The cubic root of 2155219200 is about 1291.7064131138.

The spelling of 2155219200 in words is "two billion, one hundred fifty-five million, two hundred nineteen thousand, two hundred".