2270965824 has 84 divisors (see below), whose sum is σ = 6523695360. Its totient is φ = 755316480.

The previous prime is 2270965819. The next prime is 2270965847. The reversal of 2270965824 is 4285690722.

It is a self number, because there is not a number n which added to its sum of digits gives 2270965824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271789 + ... + 280019.

It is an arithmetic number, because the mean of its divisors is an integer number (77663040).

Almost surely, 2^2270965824 is an apocalyptic number.

2270965824 is a gapful number since it is divisible by the number (24) 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 2270965824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261847680).

2270965824 is an abundant number, since it is smaller than the sum of its proper divisors (4252729536).

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

2270965824 is a wasteful number, since it uses less digits than its factorization.

2270965824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728 (or 8715 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2270965824 is about 47654.6516512292. The cubic root of 2270965824 is about 1314.4281945812.

The spelling of 2270965824 in words is "two billion, two hundred seventy million, nine hundred sixty-five thousand, eight hundred twenty-four".