2270795520 has 288 divisors, whose sum is σ = 8651123712. Its totient is φ = 496336896.

The previous prime is 2270795509. The next prime is 2270795521. The reversal of 2270795520 is 255970722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270795521) 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 31 ways as a sum of consecutive naturals, for example, 616404 + ... + 620076.

It is an arithmetic number, because the mean of its divisors is an integer number (30038624).

Almost surely, 2^2270795520 is an apocalyptic number.

2270795520 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 2270795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325561856).

2270795520 is an abundant number, since it is smaller than the sum of its proper divisors (6380328192).

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

2270795520 is a wasteful number, since it uses less digits than its factorization.

2270795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 2270795520 is about 47652.8647617328. The cubic root of 2270795520 is about 1314.3953366120.

The spelling of 2270795520 in words is "two billion, two hundred seventy million, seven hundred ninety-five thousand, five hundred twenty".