2573688 has 64 divisors (see below), whose sum is σ = 7086240. Its totient is φ = 774144.

The previous prime is 2573657. The next prime is 2573689. The reversal of 2573688 is 8863752.

2573688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2573689) 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, 22720 + ... + 22832.

2^2573688 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 2573688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543120).

2573688 is an abundant number, since it is smaller than the sum of its proper divisors (4512552).

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

2573688 is a wasteful number, since it uses less digits than its factorization.

2573688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2573688 is about 1604.2717974209. The cubic root of 2573688 is about 137.0414565430.

Subtracting 2573688 from its reverse (8863752), we obtain a square (6290064 = 2508²).

The spelling of 2573688 in words is "two million, five hundred seventy-three thousand, six hundred eighty-eight".