2175033040 has 80 divisors (see below), whose sum is σ = 5402185488. Its totient is φ = 811532288.

The previous prime is 2175032947. The next prime is 2175033061. The reversal of 2175033040 is 403305712.

It can be written as a sum of positive squares in 8 ways, for example, as 201185856 + 1973847184 = 14184^2 + 44428^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2175032996 and 2175033014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146604 + ... + 160756.

Almost surely, 2^2175033040 is an apocalyptic number.

2175033040 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 2175033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701092744).

2175033040 is an abundant number, since it is smaller than the sum of its proper divisors (3227152448).

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

2175033040 is a wasteful number, since it uses less digits than its factorization.

2175033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14296 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 2175033040 is about 46637.2494900804. The cubic root of 2175033040 is about 1295.6527450726.

Adding to 2175033040 its reverse (403305712), we get a palindrome (2578338752).

The spelling of 2175033040 in words is "two billion, one hundred seventy-five million, thirty-three thousand, forty".