2640512 has 48 divisors (see below), whose sum is σ = 6133770. Its totient is φ = 1128960.

The previous prime is 2640511. The next prime is 2640527. The reversal of 2640512 is 2150462.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2637376 + 3136 = 1624^2 + 56^2 .

It is not an unprimeable number, because it can be changed into a prime (2640511) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6062 + ... + 6482.

2^2640512 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 2640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066885).

2640512 is an abundant number, since it is smaller than the sum of its proper divisors (3493258).

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

2640512 is an equidigital number, since it uses as much as digits as its factorization.

2640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2640512 is about 1624.9652303973. The cubic root of 2640512 is about 138.2173987113.

Adding to 2640512 its reverse (2150462), we get a palindrome (4790974).

The spelling of 2640512 in words is "two million, six hundred forty thousand, five hundred twelve".