2225648880 has 640 divisors, whose sum is σ = 9632716800. Its totient is φ = 462578688.

The previous prime is 2225648849. The next prime is 2225648881. The reversal of 2225648880 is 888465222.

2225648880 is a `hidden beast` number, since 2 + 2 + 2 + 564 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225648881) 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 127 ways as a sum of consecutive naturals, for example, 33218607 + ... + 33218673.

It is an arithmetic number, because the mean of its divisors is an integer number (15051120).

Almost surely, 2^2225648880 is an apocalyptic number.

2225648880 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 2225648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816358400).

2225648880 is an abundant number, since it is smaller than the sum of its proper divisors (7407067920).

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

2225648880 is a wasteful number, since it uses less digits than its factorization.

2225648880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2225648880 is about 47176.7832731313. The cubic root of 2225648880 is about 1305.6262815049.

The spelling of 2225648880 in words is "two billion, two hundred twenty-five million, six hundred forty-eight thousand, eight hundred eighty".