2263271440 has 20 divisors (see below), whose sum is σ = 5262106284. Its totient is φ = 905308544.

The previous prime is 2263271429. The next prime is 2263271449. The reversal of 2263271440 is 441723622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1205200656 + 1058070784 = 34716^2 + 32528^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2263271440² = 10244795222239347200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2263271449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14145367 + ... + 14145526.

Almost surely, 2^2263271440 is an apocalyptic number.

2263271440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263271440 is an abundant number, since it is smaller than the sum of its proper divisors (2998834844).

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

2263271440 is a wasteful number, since it uses less digits than its factorization.

2263271440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28290906 (or 28290900 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2263271440 is about 47573.8524822197. The cubic root of 2263271440 is about 1312.9420194057.

The spelling of 2263271440 in words is "two billion, two hundred sixty-three million, two hundred seventy-one thousand, four hundred forty".