2663566461 has 24 divisors (see below), whose sum is σ = 3869980920. Its totient is φ = 1765310976.

The previous prime is 2663566447. The next prime is 2663566483. The reversal of 2663566461 is 1646653662.

2663566461 is a `hidden beast` number, since 2 + 6 + 635 + 6 + 6 + 4 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8122500 + 2655443961 = 2850^2 + 51531^2 .

It is not a de Polignac number, because 2663566461 - 2⁵ = 2663566429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663566421) 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, 1286335 + ... + 1288403.

It is an arithmetic number, because the mean of its divisors is an integer number (161249205).

Almost surely, 2^2663566461 is an apocalyptic number.

It is an amenable number.

2663566461 is a deficient number, since it is larger than the sum of its proper divisors (1206414459).

2663566461 is a wasteful number, since it uses less digits than its factorization.

2663566461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2842 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 2663566461 is about 51609.7516076177. The cubic root of 2663566461 is about 1386.1849496760.

It can be divided in two parts, 26635 and 66461, that added together give a triangular number (93096 = T₄₃₁).

The spelling of 2663566461 in words is "two billion, six hundred sixty-three million, five hundred sixty-six thousand, four hundred sixty-one".