2261259312 has 160 divisors (see below), whose sum is σ = 6699571200. Its totient is φ = 651442176.

The previous prime is 2261259281. The next prime is 2261259337. The reversal of 2261259312 is 2139521622.

It is a super-2 number, since 2×2261259312² = 10226587352213426688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054113 + ... + 1056255.

It is an arithmetic number, because the mean of its divisors is an integer number (41872320).

Almost surely, 2^2261259312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261259312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349785600).

2261259312 is an abundant number, since it is smaller than the sum of its proper divisors (4438311888).

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

2261259312 is a wasteful number, since it uses less digits than its factorization.

2261259312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2269 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 2261259312 is about 47552.7003649635. The cubic root of 2261259312 is about 1312.5528201509.

The spelling of 2261259312 in words is "two billion, two hundred sixty-one million, two hundred fifty-nine thousand, three hundred twelve".