2263478272 has 78 divisors (see below), whose sum is σ = 4976392904. Its totient is φ = 1028628480.

The previous prime is 2263478233. The next prime is 2263478279. The reversal of 2263478272 is 2728743622.

It is a happy number.

It is a super-2 number, since 2×2263478272² = 10246667775632211968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263478279) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 493333 + ... + 497899.

Almost surely, 2^2263478272 is an apocalyptic number.

2263478272 is a gapful number since it is divisible by the number (22) 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 2263478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488196452).

2263478272 is an abundant number, since it is smaller than the sum of its proper divisors (2712914632).

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

2263478272 is an equidigital number, since it uses as much as digits as its factorization.

2263478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4580 counting only the distinct ones).

The product of its digits is 451584, while the sum is 43.

The square root of 2263478272 is about 47576.0262317062. The cubic root of 2263478272 is about 1312.9820131579.

The spelling of 2263478272 in words is "two billion, two hundred sixty-three million, four hundred seventy-eight thousand, two hundred seventy-two".