2171052720 has 200 divisors, whose sum is σ = 7637636160. Its totient is φ = 571484160.

The previous prime is 2171052691. The next prime is 2171052721. The reversal of 2171052720 is 272501712.

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 (2171052721) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 509800 + ... + 514040.

Almost surely, 2^2171052720 is an apocalyptic number.

2171052720 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 2171052720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818818080).

2171052720 is an abundant number, since it is smaller than the sum of its proper divisors (5466583440).

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

2171052720 is a wasteful number, since it uses less digits than its factorization.

2171052720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 2171052720 is about 46594.5567636392. The cubic root of 2171052720 is about 1294.8619123990.

The spelling of 2171052720 in words is "two billion, one hundred seventy-one million, fifty-two thousand, seven hundred twenty".