2461761 has 9 divisors (see below), whose sum is σ = 3562689. Its totient is φ = 1638036.

The previous prime is 2461733. The next prime is 2461769. The reversal of 2461761 is 1671642.

The square root of 2461761 is 1569.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2461761 - 2⁵ = 2461729 is a prime.

It is a super-2 number, since 2×2461761² = 12120534442242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2461769) 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 8 ways as a sum of consecutive naturals, for example, 4446 + ... + 4968.

2^2461761 is an apocalyptic number.

2461761 is the 1569-th square number.

2461761 is the 785-th centered octagonal number.

It is an amenable number.

2461761 is a deficient number, since it is larger than the sum of its proper divisors (1100928).

2461761 is an frugal number, since it uses more digits than its factorization.

2461761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 526 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The cubic root of 2461761 is about 135.0253450356.

The spelling of 2461761 in words is "two million, four hundred sixty-one thousand, seven hundred sixty-one".