2225015424 has 96 divisors (see below), whose sum is σ = 6575885940. Its totient is φ = 721612800.

The previous prime is 2225015417. The next prime is 2225015449. The reversal of 2225015424 is 4245105222.

2225015424 is a `hidden beast` number, since 2 + 225 + 0 + 15 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1851753024 + 373262400 = 43032^2 + 19320^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 16524 + ... + 68724.

Almost surely, 2^2225015424 is an apocalyptic number.

2225015424 is a gapful number since it is divisible by the number (24) 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 2225015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287942970).

2225015424 is an abundant number, since it is smaller than the sum of its proper divisors (4350870516).

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

2225015424 is a wasteful number, since it uses less digits than its factorization.

2225015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52258 (or 52243 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2225015424 is about 47170.0691540727. The cubic root of 2225015424 is about 1305.5024022344.

The spelling of 2225015424 in words is "two billion, two hundred twenty-five million, fifteen thousand, four hundred twenty-four".