2261135850 has 96 divisors (see below), whose sum is σ = 5918996160. Its totient is φ = 569664000.

The previous prime is 2261135843. The next prime is 2261135857. The reversal of 2261135850 is 585311622.

It is an interprime number because it is at equal distance from previous prime (2261135843) and next prime (2261135857).

It is a super-2 number, since 2×2261135850² = 10225470664310445000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261135857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312990 + ... + 1314710.

It is an arithmetic number, because the mean of its divisors is an integer number (61656210).

Almost surely, 2^2261135850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261135850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959498080).

2261135850 is an abundant number, since it is smaller than the sum of its proper divisors (3657860310).

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

2261135850 is a wasteful number, since it uses less digits than its factorization.

2261135850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2261135850 is about 47551.4021875276. The cubic root of 2261135850 is about 1312.5289317885.

The spelling of 2261135850 in words is "two billion, two hundred sixty-one million, one hundred thirty-five thousand, eight hundred fifty".