2640640000 has 120 divisors (see below), whose sum is σ = 6601074480. Its totient is φ = 1055744000.

The previous prime is 2640639983. The next prime is 2640640003. The reversal of 2640640000 is 460462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640640003) 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 9 ways as a sum of consecutive naturals, for example, 1278969 + ... + 1281031.

It is an arithmetic number, because the mean of its divisors is an integer number (55008954).

Almost surely, 2^2640640000 is an apocalyptic number.

2640640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300537240).

2640640000 is an abundant number, since it is smaller than the sum of its proper divisors (3960434480).

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

2640640000 is an frugal number, since it uses more digits than its factorization.

2640640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2640640000 is about 51387.1579288055. The cubic root of 2640640000 is about 1382.1963205863.

The spelling of 2640640000 in words is "two billion, six hundred forty million, six hundred forty thousand".