2013726528 has 168 divisors, whose sum is σ = 6507764480. Its totient is φ = 610156800.

The previous prime is 2013726509. The next prime is 2013726569. The reversal of 2013726528 is 8256273102.

2013726528 is a `hidden beast` number, since 201 + 372 + 65 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2013726492 and 2013726501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204273 + ... + 213903.

Almost surely, 2^2013726528 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 2013726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253882240).

2013726528 is an abundant number, since it is smaller than the sum of its proper divisors (4494037952).

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

2013726528 is a wasteful number, since it uses less digits than its factorization.

2013726528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2013726528 is about 44874.5643767157. The cubic root of 2013726528 is about 1262.7968709834.

It can be divided in two parts, 20137 and 26528, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 2013726528 in words is "two billion, thirteen million, seven hundred twenty-six thousand, five hundred twenty-eight".