2220671376 has 675 divisors, whose sum is σ = 8729953617. Its totient is φ = 542868480.

The previous prime is 2220671363. The next prime is 2220671377. The reversal of 2220671376 is 6731760222.

It is a happy number.

The square root of 2220671376 is 47124.

It is a perfect power (a square), and thus also a powerful number.

2220671376 is a `hidden beast` number, since 2 + 220 + 67 + 1 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1728896400 + 491774976 = 41580^2 + 22176^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2220671376.

It is not an unprimeable number, because it can be changed into a prime (2220671377) 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 134 ways as a sum of consecutive naturals, for example, 130627720 + ... + 130627736.

Almost surely, 2^2220671376 is an apocalyptic number.

2220671376 is the 47124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220671376

2220671376 is an abundant number, since it is smaller than the sum of its proper divisors (6509282241).

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

2220671376 is a wasteful number, since it uses less digits than its factorization.

2220671376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The cubic root of 2220671376 is about 1304.6522418596.

Multiplying 2220671376 by its sum of digits (36), we get a square (79944169536 = 282744²).

2220671376 divided by its sum of digits (36) gives a square (61685316 = 7854²).

The spelling of 2220671376 in words is "two billion, two hundred twenty million, six hundred seventy-one thousand, three hundred seventy-six".