2561628 has 48 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 774144.

The previous prime is 2561627. The next prime is 2561633. The reversal of 2561628 is 8261652.

2561628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2561595 and 2561604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561627) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5700 + ... + 6132.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

2^2561628 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 2561628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2561628 is an abundant number, since it is smaller than the sum of its proper divisors (4000452).

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

2561628 is a wasteful number, since it uses less digits than its factorization.

2561628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 2561628 is about 1600.5086691424. The cubic root of 2561628 is about 136.8270679314.

The spelling of 2561628 in words is "two million, five hundred sixty-one thousand, six hundred twenty-eight".