2606145696 has 576 divisors, whose sum is σ = 10144382976. Its totient is φ = 613785600.

The previous prime is 2606145691. The next prime is 2606145701. The reversal of 2606145696 is 6965416062.

2606145696 is a `hidden beast` number, since 26 + 0 + 61 + 4 + 569 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2606145691) and next prime (2606145701).

It is not an unprimeable number, because it can be changed into a prime (2606145691) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11686641 + ... + 11686863.

It is an arithmetic number, because the mean of its divisors is an integer number (17611776).

Almost surely, 2^2606145696 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 2606145696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072191488).

2606145696 is an abundant number, since it is smaller than the sum of its proper divisors (7538237280).

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

2606145696 is a wasteful number, since it uses less digits than its factorization.

2606145696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2606145696 is about 51050.4230736632. The cubic root of 2606145696 is about 1376.1514447067.

The spelling of 2606145696 in words is "two billion, six hundred six million, one hundred forty-five thousand, six hundred ninety-six".