2531648 has 28 divisors (see below), whose sum is σ = 5742432. Its totient is φ = 1084800.

The previous prime is 2531629. The next prime is 2531653. The reversal of 2531648 is 8461352.

It is a tau number, because it is divible by the number of its divisors (28).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2531648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2378 + ... + 3273.

2^2531648 is an apocalyptic number.

2531648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2531648 is an abundant number, since it is smaller than the sum of its proper divisors (3210784).

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

2531648 is an equidigital number, since it uses as much as digits as its factorization.

2531648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5660 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 2531648 is about 1591.1153320863. The cubic root of 2531648 is about 136.2911869424.

The spelling of 2531648 in words is "two million, five hundred thirty-one thousand, six hundred forty-eight".