2171761200 has 480 divisors, whose sum is σ = 9225600000. Its totient is φ = 474439680.

The previous prime is 2171761187. The next prime is 2171761201. The reversal of 2171761200 is 21671712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2171761201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1738176 + ... + 1739424.

It is an arithmetic number, because the mean of its divisors is an integer number (19220000).

Almost surely, 2^2171761200 is an apocalyptic number.

2171761200 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 2171761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612800000).

2171761200 is an abundant number, since it is smaller than the sum of its proper divisors (7053838800).

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

2171761200 is a wasteful number, since it uses less digits than its factorization.

2171761200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 2171761200 is about 46602.1587482812. The cubic root of 2171761200 is about 1295.0027479158.

The spelling of 2171761200 in words is "two billion, one hundred seventy-one million, seven hundred sixty-one thousand, two hundred".