2521728 has 96 divisors (see below), whose sum is σ = 7956000. Its totient is φ = 760320.

The previous prime is 2521723. The next prime is 2521733. The reversal of 2521728 is 8271252.

It is an interprime number because it is at equal distance from previous prime (2521723) and next prime (2521733).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2521728² = 12718224211968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2521721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12573 + ... + 12771.

It is an arithmetic number, because the mean of its divisors is an integer number (82875).

2^2521728 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 2521728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978000).

2521728 is an abundant number, since it is smaller than the sum of its proper divisors (5434272).

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

2521728 is a wasteful number, since it uses less digits than its factorization.

2521728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2521728 is about 1587.9949622086. The cubic root of 2521728 is about 136.1129396333.

It can be divided in two parts, 2521 and 728, that added together give a square (3249 = 57²).

The spelling of 2521728 in words is "two million, five hundred twenty-one thousand, seven hundred twenty-eight".