2606564016 has 240 divisors, whose sum is σ = 8753011200. Its totient is φ = 742658112.

The previous prime is 2606563991. The next prime is 2606564017. The reversal of 2606564016 is 6104656062.

It is a happy number.

2606564016 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 5 + 640 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2606564017) 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, 7260445 + ... + 7260803.

It is an arithmetic number, because the mean of its divisors is an integer number (36470880).

Almost surely, 2^2606564016 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 2606564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376505600).

2606564016 is an abundant number, since it is smaller than the sum of its proper divisors (6146447184).

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

2606564016 is an frugal number, since it uses more digits than its factorization.

2606564016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 371 counting only the distinct ones).

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

The square root of 2606564016 is about 51054.5200349587. The cubic root of 2606564016 is about 1376.2250707866.

The spelling of 2606564016 in words is "two billion, six hundred six million, five hundred sixty-four thousand, sixteen".