2225225440 has 96 divisors (see below), whose sum is σ = 5363293824. Its totient is φ = 872256000.

The previous prime is 2225225417. The next prime is 2225225449. The reversal of 2225225440 is 445225222.

It is a junction number, because it is equal to n+sod(n) for n = 2225225399 and 2225225408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225225449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2690307 + ... + 2691133.

It is an arithmetic number, because the mean of its divisors is an integer number (55867644).

Almost surely, 2^2225225440 is an apocalyptic number.

2225225440 is a gapful number since it is divisible by the number (20) 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 2225225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681646912).

2225225440 is an abundant number, since it is smaller than the sum of its proper divisors (3138068384).

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

2225225440 is a wasteful number, since it uses less digits than its factorization.

2225225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 2225225440 is about 47172.2952589759. The cubic root of 2225225440 is about 1305.5434757724.

The spelling of 2225225440 in words is "two billion, two hundred twenty-five million, two hundred twenty-five thousand, four hundred forty".