2171655360 has 280 divisors, whose sum is σ = 8829263520. Its totient is φ = 496336896.

The previous prime is 2171655313. The next prime is 2171655371. The reversal of 2171655360 is 635561712.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 175456 + ... + 187424.

It is an arithmetic number, because the mean of its divisors is an integer number (31533084).

Almost surely, 2^2171655360 is an apocalyptic number.

2171655360 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 2171655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414631760).

2171655360 is an abundant number, since it is smaller than the sum of its proper divisors (6657608160).

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

2171655360 is a wasteful number, since it uses less digits than its factorization.

2171655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12005 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2171655360 is about 46601.0231647332. The cubic root of 2171655360 is about 1294.9817104099.

The spelling of 2171655360 in words is "two billion, one hundred seventy-one million, six hundred fifty-five thousand, three hundred sixty".