2261259 has 48 divisors (see below), whose sum is σ = 4402944. Its totient is φ = 1080000.

The previous prime is 2261227. The next prime is 2261267. The reversal of 2261259 is 9521622.

2261259 = 90³ + 91³ + 92³.

It is not a de Polignac number, because 2261259 - 2⁵ = 2261227 is a prime.

It is a super-2 number, since 2×2261259² = 10226584530162, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹⁰ + 2¹⁴ + 6⁸ + 1 + 2¹⁵ + 5² + 9⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8884 + ... + 9134.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

2^2261259 is an apocalyptic number.

2261259 is a deficient number, since it is larger than the sum of its proper divisors (2141685).

2261259 is a wasteful number, since it uses less digits than its factorization.

2261259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2261259 is about 1503.7483167073. The cubic root of 2261259 is about 131.2552759784.

It can be divided in two parts, 226 and 1259, that added together give a triangular number (1485 = T₅₄).

The spelling of 2261259 in words is "two million, two hundred sixty-one thousand, two hundred fifty-nine".