2661406506 has 48 divisors (see below), whose sum is σ = 6349438368. Its totient is φ = 798943200.

The previous prime is 2661406487. The next prime is 2661406519. The reversal of 2661406506 is 6056041662.

It is a happy number.

2661406506 is a `hidden beast` number, since 2 + 6 + 6 + 140 + 6 + 506 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41625 + ... + 83996.

It is an arithmetic number, because the mean of its divisors is an integer number (132279966).

Almost surely, 2^2661406506 is an apocalyptic number.

2661406506 is an abundant number, since it is smaller than the sum of its proper divisors (3688031862).

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

2661406506 is a wasteful number, since it uses less digits than its factorization.

2661406506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125747 (or 125744 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2661406506 is about 51588.8215217212. The cubic root of 2661406506 is about 1385.8101505922.

The spelling of 2661406506 in words is "two billion, six hundred sixty-one million, four hundred six thousand, five hundred six".