2625312 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 788480.

The previous prime is 2625307. The next prime is 2625313. The reversal of 2625312 is 2135262.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (2625313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64012 + ... + 64052.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^2625312 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 2625312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2625312 is an abundant number, since it is smaller than the sum of its proper divisors (4995168).

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

2625312 is a wasteful number, since it uses less digits than its factorization.

2625312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 98 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 2625312 is about 1620.2814570315. The cubic root of 2625312 is about 137.9516739000.

The spelling of 2625312 in words is "two million, six hundred twenty-five thousand, three hundred twelve".