2229815952 has 600 divisors, whose sum is σ = 8417153976. Its totient is φ = 564350976.

The previous prime is 2229815941. The next prime is 2229815981. The reversal of 2229815952 is 2595189222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 437479056 + 1792336896 = 20916^2 + 42336^2 .

Its product of digits (259200) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 2229815898 and 2229815907.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 30545388 + ... + 30545460.

Almost surely, 2^2229815952 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 2229815952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208576988).

2229815952 is an abundant number, since it is smaller than the sum of its proper divisors (6187338024).

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

2229815952 is a wasteful number, since it uses less digits than its factorization.

2229815952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

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

The square root of 2229815952 is about 47220.9270557028. The cubic root of 2229815952 is about 1306.4406128223.

The spelling of 2229815952 in words is "two billion, two hundred twenty-nine million, eight hundred fifteen thousand, nine hundred fifty-two".