2227820672 has 160 divisors (see below), whose sum is σ = 5656899600. Its totient is φ = 866664960.

The previous prime is 2227820671. The next prime is 2227820689. The reversal of 2227820672 is 2760287222.

It is not an unprimeable number, because it can be changed into a prime (2227820671) 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 19 ways as a sum of consecutive naturals, for example, 3380279 + ... + 3380937.

Almost surely, 2^2227820672 is an apocalyptic number.

2227820672 is a gapful number since it is divisible by the number (22) 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 2227820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828449800).

2227820672 is an abundant number, since it is smaller than the sum of its proper divisors (3429078928).

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

2227820672 is an frugal number, since it uses more digits than its factorization.

2227820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 2227820672 is about 47199.7952537932. The cubic root of 2227820672 is about 1306.0508209021.

The spelling of 2227820672 in words is "two billion, two hundred twenty-seven million, eight hundred twenty thousand, six hundred seventy-two".