2648240800 has 36 divisors (see below), whose sum is σ = 6465019806. Its totient is φ = 1059296000.

The previous prime is 2648240779. The next prime is 2648240801. The reversal of 2648240800 is 80428462.

2648240800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1310729616 + 1337511184 = 36204^2 + 36572^2 .

It is not an unprimeable number, because it can be changed into a prime (2648240801) 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, 1654351 + ... + 1655950.

Almost surely, 2^2648240800 is an apocalyptic number.

2648240800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2648240800 is an abundant number, since it is smaller than the sum of its proper divisors (3816779006).

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

2648240800 is a wasteful number, since it uses less digits than its factorization.

2648240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310321 (or 3310308 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 2648240800 is about 51461.0610073286. The cubic root of 2648240800 is about 1383.5212183311.

The spelling of 2648240800 in words is "two billion, six hundred forty-eight million, two hundred forty thousand, eight hundred".