2606146560 has 264 divisors, whose sum is σ = 9426680640. Its totient is φ = 664485888.

The previous prime is 2606146559. The next prime is 2606146577. The reversal of 2606146560 is 656416062.

It is a happy number.

2606146560 is a `hidden beast` number, since 2 + 606 + 1 + 46 + 5 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058611 + ... + 1061069.

Almost surely, 2^2606146560 is an apocalyptic number.

2606146560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713340320).

2606146560 is an abundant number, since it is smaller than the sum of its proper divisors (6820534080).

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

2606146560 is a wasteful number, since it uses less digits than its factorization.

2606146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2492 counting only the distinct ones).

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

The square root of 2606146560 is about 51050.4315358842. The cubic root of 2606146560 is about 1376.1515967824.

The spelling of 2606146560 in words is "two billion, six hundred six million, one hundred forty-six thousand, five hundred sixty".