2648000240 has 160 divisors (see below), whose sum is σ = 6750371520. Its totient is φ = 962150400.

The previous prime is 2648000239. The next prime is 2648000279. The reversal of 2648000240 is 420008462.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4894370 + ... + 4894910.

It is an arithmetic number, because the mean of its divisors is an integer number (42189822).

Almost surely, 2^2648000240 is an apocalyptic number.

2648000240 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 2648000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375185760).

2648000240 is an abundant number, since it is smaller than the sum of its proper divisors (4102371280).

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

2648000240 is a wasteful number, since it uses less digits than its factorization.

2648000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2648000240 is about 51458.7236530406. The cubic root of 2648000240 is about 1383.4793251188.

The spelling of 2648000240 in words is "two billion, six hundred forty-eight million, two hundred forty", and thus it is an aban number.