2175072240 has 160 divisors (see below), whose sum is σ = 7449523200. Its totient is φ = 520565760.

The previous prime is 2175072233. The next prime is 2175072241. The reversal of 2175072240 is 422705712.

2175072240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2175072198 and 2175072207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2175072241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203346 + ... + 213774.

It is an arithmetic number, because the mean of its divisors is an integer number (46559520).

Almost surely, 2^2175072240 is an apocalyptic number.

2175072240 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 2175072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724761600).

2175072240 is an abundant number, since it is smaller than the sum of its proper divisors (5274450960).

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

2175072240 is a wasteful number, since it uses less digits than its factorization.

2175072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 2175072240 is about 46637.6697531084. The cubic root of 2175072240 is about 1295.6605287524.

Adding to 2175072240 its reverse (422705712), we get a palindrome (2597777952).

The spelling of 2175072240 in words is "two billion, one hundred seventy-five million, seventy-two thousand, two hundred forty".