2271255840 has 216 divisors, whose sum is σ = 9016354620. Its totient is φ = 519128064.

The previous prime is 2271255821. The next prime is 2271255859. The reversal of 2271255840 is 485521722.

It is a happy number.

2271255840 is a `hidden beast` number, since 2 + 2 + 71 + 2 + 5 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2271255821) and next prime (2271255859).

It can be written as a sum of positive squares in 2 ways, for example, as 2204865936 + 66389904 = 46956^2 + 8148^2 .

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 = 2271255795 and 2271255804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54466 + ... + 86654.

Almost surely, 2^2271255840 is an apocalyptic number.

2271255840 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 2271255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508177310).

2271255840 is an abundant number, since it is smaller than the sum of its proper divisors (6745098780).

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

2271255840 is a wasteful number, since it uses less digits than its factorization.

2271255840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32224 (or 32206 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2271255840 is about 47657.6944469621. The cubic root of 2271255840 is about 1314.4841456626.

The spelling of 2271255840 in words is "two billion, two hundred seventy-one million, two hundred fifty-five thousand, eight hundred forty".