2281565440 has 216 divisors, whose sum is σ = 6937352352. Its totient is φ = 710922240.

The previous prime is 2281565399. The next prime is 2281565441. The reversal of 2281565440 is 445651822.

It is a self number, because there is not a number n which added to its sum of digits gives 2281565440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281565441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688267 + ... + 691573.

It is an arithmetic number, because the mean of its divisors is an integer number (32117372).

Almost surely, 2^2281565440 is an apocalyptic number.

2281565440 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 2281565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468676176).

2281565440 is an abundant number, since it is smaller than the sum of its proper divisors (4655786912).

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

2281565440 is a wasteful number, since it uses less digits than its factorization.

2281565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 2281565440 is about 47765.7349990555. The cubic root of 2281565440 is about 1316.4700297778.

The spelling of 2281565440 in words is "two billion, two hundred eighty-one million, five hundred sixty-five thousand, four hundred forty".