2229581952 has 192 divisors, whose sum is σ = 7042253400. Its totient is φ = 673081344.

The previous prime is 2229581951. The next prime is 2229581953. The reversal of 2229581952 is 2591859222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2229581951) and next prime (2229581953).

It can be written as a sum of positive squares in 4 ways, for example, as 1439747136 + 789834816 = 37944^2 + 28104^2 .

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (259200) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2229581898 and 2229581907.

It is not an unprimeable number, because it can be changed into a prime (2229581951) 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 23 ways as a sum of consecutive naturals, for example, 42067558 + ... + 42067610.

Almost surely, 2^2229581952 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 2229581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521126700).

2229581952 is an abundant number, since it is smaller than the sum of its proper divisors (4812671448).

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

2229581952 is an frugal number, since it uses more digits than its factorization.

2229581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 71 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2229581952 is about 47218.4492756804. The cubic root of 2229581952 is about 1306.3949113228.

The spelling of 2229581952 in words is "two billion, two hundred twenty-nine million, five hundred eighty-one thousand, nine hundred fifty-two".