2513728 has 56 divisors (see below), whose sum is σ = 5917184. Its totient is φ = 1036800.

The previous prime is 2513723. The next prime is 2513729. The reversal of 2513728 is 8273152.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2513696 and 2513705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13798 + ... + 13978.

It is an arithmetic number, because the mean of its divisors is an integer number (105664).

2^2513728 is an apocalyptic number.

2513728 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 2513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958592).

2513728 is an abundant number, since it is smaller than the sum of its proper divisors (3403456).

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

2513728 is a wasteful number, since it uses less digits than its factorization.

2513728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 2513728 is about 1585.4740615980. The cubic root of 2513728 is about 135.9688509978.

The spelling of 2513728 in words is "two million, five hundred thirteen thousand, seven hundred twenty-eight".