2161227600 has 360 divisors, whose sum is σ = 8647154880. Its totient is φ = 489646080.

The previous prime is 2161227583. The next prime is 2161227611. The reversal of 2161227600 is 67221612.

2161227600 is a `hidden beast` number, since 21 + 6 + 12 + 27 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3502492 + ... + 3503108.

Almost surely, 2^2161227600 is an apocalyptic number.

2161227600 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 2161227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323577440).

2161227600 is an abundant number, since it is smaller than the sum of its proper divisors (6485927280).

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

2161227600 is a wasteful number, since it uses less digits than its factorization.

2161227600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2161227600 is about 46489.0051517560. The cubic root of 2161227600 is about 1292.9056550510.

The spelling of 2161227600 in words is "two billion, one hundred sixty-one million, two hundred twenty-seven thousand, six hundred".