2606149728 has 576 divisors, whose sum is σ = 9862594560. Its totient is φ = 658409472.

The previous prime is 2606149717. The next prime is 2606149747. The reversal of 2606149728 is 8279416062.

It is a happy number.

2606149728 is a `hidden beast` number, since 2 + 6 + 0 + 614 + 9 + 7 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20520801 + ... + 20520927.

It is an arithmetic number, because the mean of its divisors is an integer number (17122560).

Almost surely, 2^2606149728 is an apocalyptic number.

2606149728 is a gapful number since it is divisible by the number (28) 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 2606149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931297280).

2606149728 is an abundant number, since it is smaller than the sum of its proper divisors (7256444832).

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

2606149728 is a wasteful number, since it uses less digits than its factorization.

2606149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2606149728 is about 51050.4625640160. The cubic root of 2606149728 is about 1376.1521543932.

The spelling of 2606149728 in words is "two billion, six hundred six million, one hundred forty-nine thousand, seven hundred twenty-eight".