2171061144 has 288 divisors, whose sum is σ = 7368940800. Its totient is φ = 585766080.

The previous prime is 2171061131. The next prime is 2171061169. The reversal of 2171061144 is 4411601712.

2171061144 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 0 + 611 + 44 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6980749 + ... + 6981059.

It is an arithmetic number, because the mean of its divisors is an integer number (25586600).

Almost surely, 2^2171061144 is an apocalyptic number.

2171061144 is a gapful number since it is divisible by the number (24) 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 2171061144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684470400).

2171061144 is an abundant number, since it is smaller than the sum of its proper divisors (5197879656).

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

2171061144 is an equidigital number, since it uses as much as digits as its factorization.

2171061144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2171061144 is about 46594.6471603767. The cubic root of 2171061144 is about 1294.8635871476.

Adding to 2171061144 its reverse (4411601712), we get a palindrome (6582662856).

The spelling of 2171061144 in words is "two billion, one hundred seventy-one million, sixty-one thousand, one hundred forty-four".