2535648 has 48 divisors (see below), whose sum is σ = 6780816. Its totient is φ = 829440.

The previous prime is 2535641. The next prime is 2535671. The reversal of 2535648 is 8465352.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535641) 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, 5640 + ... + 6072.

It is an arithmetic number, because the mean of its divisors is an integer number (141267).

2^2535648 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 2535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390408).

2535648 is an abundant number, since it is smaller than the sum of its proper divisors (4245168).

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

2535648 is a wasteful number, since it uses less digits than its factorization.

2535648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 2535648 is about 1592.3718158772. The cubic root of 2535648 is about 136.3629291276.

The spelling of 2535648 in words is "two million, five hundred thirty-five thousand, six hundred forty-eight".