2175663440 has 80 divisors (see below), whose sum is σ = 5142118800. Its totient is φ = 855982080.

The previous prime is 2175663377. The next prime is 2175663443. The reversal of 2175663440 is 443665712.

It is a happy number.

2175663440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 535089424 + 1640574016 = 23132^2 + 40504^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2175663440² = 9467022808305267200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2175663394 and 2175663403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2175663443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1403786 + ... + 1405334.

It is an arithmetic number, because the mean of its divisors is an integer number (64276485).

Almost surely, 2^2175663440 is an apocalyptic number.

2175663440 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 2175663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571059400).

2175663440 is an abundant number, since it is smaller than the sum of its proper divisors (2966455360).

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

2175663440 is a wasteful number, since it uses less digits than its factorization.

2175663440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 2175663440 is about 46644.0075465220. The cubic root of 2175663440 is about 1295.7779080131. Note that the first 3 decimals are identical.

The spelling of 2175663440 in words is "two billion, one hundred seventy-five million, six hundred sixty-three thousand, four hundred forty".