2563968 has 64 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 775680.

The previous prime is 2563943. The next prime is 2563969. The reversal of 2563968 is 8693652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563969) 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, 3921 + ... + 4527.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

2^2563968 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 2563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720960).

2563968 is an abundant number, since it is smaller than the sum of its proper divisors (4877952).

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

2563968 is a wasteful number, since it uses less digits than its factorization.

2563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 2563968 is about 1601.2395198720. The cubic root of 2563968 is about 136.8687182539.

It can be divided in two parts, 256 and 3968, that added together give a palindrome (4224).

The spelling of 2563968 in words is "two million, five hundred sixty-three thousand, nine hundred sixty-eight".