2640628000 has 48 divisors (see below), whose sum is σ = 6488032824. Its totient is φ = 1056249600.

The previous prime is 2640627959. The next prime is 2640628007. The reversal of 2640628000 is 8260462.

It can be written as a sum of positive squares in 4 ways, for example, as 1158993936 + 1481634064 = 34044^2 + 38492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2640628000.

It is not an unprimeable number, because it can be changed into a prime (2640628007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326079 + ... + 334078.

Almost surely, 2^2640628000 is an apocalyptic number.

2640628000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640628000 is an abundant number, since it is smaller than the sum of its proper divisors (3847404824).

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

2640628000 is an equidigital number, since it uses as much as digits as its factorization.

2640628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660182 (or 660164 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2640628000 is about 51387.0411679832. The cubic root of 2640628000 is about 1382.1942268538.

Adding to 2640628000 its reverse (8260462), we get a palindrome (2648888462).

The spelling of 2640628000 in words is "two billion, six hundred forty million, six hundred twenty-eight thousand".