2606639616 has 480 divisors, whose sum is σ = 9258657408. Its totient is φ = 716636160.

The previous prime is 2606639569. The next prime is 2606639663. The reversal of 2606639616 is 6169366062.

2606639616 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 639 + 6 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2606639569) and next prime (2606639663).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35707356 + ... + 35707428.

Almost surely, 2^2606639616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606639616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629328704).

2606639616 is an abundant number, since it is smaller than the sum of its proper divisors (6652017792).

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

2606639616 is an frugal number, since it uses more digits than its factorization.

2606639616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 2606639616 is about 51055.2604145743. The cubic root of 2606639616 is about 1376.2383758642.

The spelling of 2606639616 in words is "two billion, six hundred six million, six hundred thirty-nine thousand, six hundred sixteen".