2171211552 has 144 divisors (see below), whose sum is σ = 6365326968. Its totient is φ = 701706240.

The previous prime is 2171211551. The next prime is 2171211557. The reversal of 2171211552 is 2551121712.

2171211552 is a `hidden beast` number, since 21 + 71 + 21 + 1 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1225280016 + 945931536 = 35004^2 + 30756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2171211551) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1281618 + ... + 1283310.

Almost surely, 2^2171211552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171211552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182663484).

2171211552 is an abundant number, since it is smaller than the sum of its proper divisors (4194115416).

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

2171211552 is a wasteful number, since it uses less digits than its factorization.

2171211552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1832 counting only the distinct ones).

The product of its digits is 1400, while the sum is 27.

The square root of 2171211552 is about 46596.2611375634. The cubic root of 2171211552 is about 1294.8934885541.

The spelling of 2171211552 in words is "two billion, one hundred seventy-one million, two hundred eleven thousand, five hundred fifty-two".