2174225328 has 400 divisors, whose sum is σ = 7562016000. Its totient is φ = 595330560.

The previous prime is 2174225327. The next prime is 2174225329. The reversal of 2174225328 is 8235224712.

It is an interprime number because it is at equal distance from previous prime (2174225327) and next prime (2174225329).

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 = 2174225292 and 2174225301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2174225321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6229698 + ... + 6230046.

It is an arithmetic number, because the mean of its divisors is an integer number (18905040).

Almost surely, 2^2174225328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2174225328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781008000).

2174225328 is an abundant number, since it is smaller than the sum of its proper divisors (5387790672).

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

2174225328 is a wasteful number, since it uses less digits than its factorization.

2174225328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2174225328 is about 46628.5891701647. The cubic root of 2174225328 is about 1295.4923423230.

The spelling of 2174225328 in words is "two billion, one hundred seventy-four million, two hundred twenty-five thousand, three hundred twenty-eight".