2512896 has 48 divisors (see below), whose sum is σ = 6715800. Its totient is φ = 835584.

The previous prime is 2512847. The next prime is 2512897. The reversal of 2512896 is 6982152.

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 (2512897) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5940 + ... + 6348.

2^2512896 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 2512896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357900).

2512896 is an abundant number, since it is smaller than the sum of its proper divisors (4202904).

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

2512896 is an equidigital number, since it uses as much as digits as its factorization.

2512896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 414 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 2512896 is about 1585.2116577921. The cubic root of 2512896 is about 135.9538482386.

It can be divided in two parts, 25 and 12896, that added together give a palindrome (12921).

The spelling of 2512896 in words is "two million, five hundred twelve thousand, eight hundred ninety-six".