2225549952 has 128 divisors (see below), whose sum is σ = 6914376000. Its totient is φ = 702784512.

The previous prime is 2225549947. The next prime is 2225549957. The reversal of 2225549952 is 2599455222.

2225549952 is a `hidden beast` number, since 2 + 2 + 2 + 554 + 9 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2225549947) and next prime (2225549957).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2225549898 and 2225549907.

It is not an unprimeable number, because it can be changed into a prime (2225549957) 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 15 ways as a sum of consecutive naturals, for example, 48718 + ... + 82610.

Almost surely, 2^2225549952 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 2225549952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457188000).

2225549952 is an abundant number, since it is smaller than the sum of its proper divisors (4688826048).

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

2225549952 is a wasteful number, since it uses less digits than its factorization.

2225549952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33935 (or 33917 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 2225549952 is about 47175.7347796513. The cubic root of 2225549952 is about 1305.6069365981.

The spelling of 2225549952 in words is "two billion, two hundred twenty-five million, five hundred forty-nine thousand, nine hundred fifty-two".