2245220880 has 320 divisors, whose sum is σ = 8647065600. Its totient is φ = 470292480.

The previous prime is 2245220867. The next prime is 2245220881. The reversal of 2245220880 is 880225422.

It is not an unprimeable number, because it can be changed into a prime (2245220881) 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 63 ways as a sum of consecutive naturals, for example, 988386 + ... + 990654.

It is an arithmetic number, because the mean of its divisors is an integer number (27022080).

Almost surely, 2^2245220880 is an apocalyptic number.

2245220880 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 2245220880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323532800).

2245220880 is an abundant number, since it is smaller than the sum of its proper divisors (6401844720).

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

2245220880 is a wasteful number, since it uses less digits than its factorization.

2245220880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 2245220880 is about 47383.7617755281. The cubic root of 2245220880 is about 1309.4422737045.

The spelling of 2245220880 in words is "two billion, two hundred forty-five million, two hundred twenty thousand, eight hundred eighty".