2531968 has 32 divisors (see below), whose sum is σ = 5116320. Its totient is φ = 1248000.

The previous prime is 2531951. The next prime is 2531981. The reversal of 2531968 is 8691352.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2³ + 5⁹ + 3¹² + 1 + 9³ + 6⁶ + 8 .

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, 16693 + ... + 16843.

It is an arithmetic number, because the mean of its divisors is an integer number (159885).

2^2531968 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 2531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558160).

2531968 is an abundant number, since it is smaller than the sum of its proper divisors (2584352).

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

2531968 is a wasteful number, since it uses less digits than its factorization.

2531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 2531968 is about 1591.2158873013. The cubic root of 2531968 is about 136.2969290969.

The spelling of 2531968 in words is "two million, five hundred thirty-one thousand, nine hundred sixty-eight".