2270269440 has 312 divisors, whose sum is σ = 8011780920. Its totient is φ = 594542592.

The previous prime is 2270269433. The next prime is 2270269451. The reversal of 2270269440 is 449620722.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 2249035776 = 4608^2 + 47424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2270269395 and 2270269404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20090824 + ... + 20090936.

It is an arithmetic number, because the mean of its divisors is an integer number (25678785).

Almost surely, 2^2270269440 is an apocalyptic number.

2270269440 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 2270269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005890460).

2270269440 is an abundant number, since it is smaller than the sum of its proper divisors (5741511480).

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

2270269440 is a wasteful number, since it uses less digits than its factorization.

2270269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2270269440 is about 47647.3445220193. The cubic root of 2270269440 is about 1314.2938258569.

The spelling of 2270269440 in words is "two billion, two hundred seventy million, two hundred sixty-nine thousand, four hundred forty".