2261127834 has 72 divisors (see below), whose sum is σ = 5706129780. Its totient is φ = 645224832.

The previous prime is 2261127829. The next prime is 2261127863. The reversal of 2261127834 is 4387211622.

It is a happy number.

2261127834 is a `hidden beast` number, since 2 + 2 + 611 + 2 + 7 + 8 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1826280225 + 434847609 = 42735^2 + 20853^2 .

It is a super-2 number, since 2×2261127834² = 10225398163379063112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1263012 + ... + 1264800.

Almost surely, 2^2261127834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261127834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853064890).

2261127834 is an abundant number, since it is smaller than the sum of its proper divisors (3445001946).

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

2261127834 is a wasteful number, since it uses less digits than its factorization.

2261127834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3234 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2261127834 is about 47551.3178997176. The cubic root of 2261127834 is about 1312.5273807621.

The spelling of 2261127834 in words is "two billion, two hundred sixty-one million, one hundred twenty-seven thousand, eight hundred thirty-four".