2171089440 has 384 divisors, whose sum is σ = 8319870720. Its totient is φ = 525533184.

The previous prime is 2171089411. The next prime is 2171089447. The reversal of 2171089440 is 449801712.

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

It is a junction number, because it is equal to n+sod(n) for n = 2171089395 and 2171089404.

It is not an unprimeable number, because it can be changed into a prime (2171089447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3762432 + ... + 3763008.

It is an arithmetic number, because the mean of its divisors is an integer number (21666330).

Almost surely, 2^2171089440 is an apocalyptic number.

2171089440 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 2171089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159935360).

2171089440 is an abundant number, since it is smaller than the sum of its proper divisors (6148781280).

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

2171089440 is a wasteful number, since it uses less digits than its factorization.

2171089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2171089440 is about 46594.9507994160. The cubic root of 2171089440 is about 1294.8692125536.

The spelling of 2171089440 in words is "two billion, one hundred seventy-one million, eighty-nine thousand, four hundred forty".