2610005661 has 48 divisors (see below), whose sum is σ = 4274749440. Its totient is φ = 1525819680.

The previous prime is 2610005647. The next prime is 2610005677. The reversal of 2610005661 is 1665000162.

It is a happy number.

2610005661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2610005661 - 2⁷ = 2610005533 is a prime.

It is a super-3 number, since 3×2610005661³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2610005681) 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, 111220 + ... + 132626.

It is an arithmetic number, because the mean of its divisors is an integer number (89057280).

Almost surely, 2^2610005661 is an apocalyptic number.

It is an amenable number.

2610005661 is a deficient number, since it is larger than the sum of its proper divisors (1664743779).

2610005661 is a wasteful number, since it uses less digits than its factorization.

2610005661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21486 (or 21483 counting only the distinct ones).

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

The square root of 2610005661 is about 51088.2145019769. The cubic root of 2610005661 is about 1376.8305159868.

The spelling of 2610005661 in words is "two billion, six hundred ten million, five thousand, six hundred sixty-one".