2261610 has 48 divisors (see below), whose sum is σ = 6335784. Its totient is φ = 556416.

The previous prime is 2261603. The next prime is 2261617. The reversal of 2261610 is 161622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2261603) and next prime (2261617).

It can be written as a sum of positive squares in 4 ways, for example, as 1610361 + 651249 = 1269^2 + 807^2 .

It is a super-2 number, since 2×2261610² = 10229759584200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2261617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204 + ... + 2136.

2^2261610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167892).

2261610 is an abundant number, since it is smaller than the sum of its proper divisors (4074174).

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

2261610 is a wasteful number, since it uses less digits than its factorization.

2261610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2261610 is about 1503.8650205387. The cubic root of 2261610 is about 131.2620669178.

The spelling of 2261610 in words is "two million, two hundred sixty-one thousand, six hundred ten".