2225313240 has 128 divisors (see below), whose sum is σ = 6836037120. Its totient is φ = 579353600.

The previous prime is 2225313179. The next prime is 2225313257. The reversal of 2225313240 is 423135222.

It is a super-2 number, since 2×2225313240² = 9904038032238595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2225313240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910420 + ... + 912860.

It is an arithmetic number, because the mean of its divisors is an integer number (53406540).

Almost surely, 2^2225313240 is an apocalyptic number.

2225313240 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 2225313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418018560).

2225313240 is an abundant number, since it is smaller than the sum of its proper divisors (4610723880).

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

2225313240 is a wasteful number, since it uses less digits than its factorization.

2225313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2225313240 is about 47173.2258807896. The cubic root of 2225313240 is about 1305.5606463487.

Adding to 2225313240 its reverse (423135222), we get a palindrome (2648448462).

The spelling of 2225313240 in words is "two billion, two hundred twenty-five million, three hundred thirteen thousand, two hundred forty".