2643865488 has 240 divisors, whose sum is σ = 8573201280. Its totient is φ = 778947840.

The previous prime is 2643865481. The next prime is 2643865513. The reversal of 2643865488 is 8845683462.

2643865488 is a `hidden beast` number, since 2 + 64 + 38 + 6 + 548 + 8 = 666.

2643865488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2643865481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933381 + ... + 1934747.

It is an arithmetic number, because the mean of its divisors is an integer number (35721672).

Almost surely, 2^2643865488 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 2643865488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286600640).

2643865488 is an abundant number, since it is smaller than the sum of its proper divisors (5929335792).

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

2643865488 is a wasteful number, since it uses less digits than its factorization.

2643865488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1420 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 2643865488 is about 51418.5325344860. The cubic root of 2643865488 is about 1382.7588664909.

The spelling of 2643865488 in words is "two billion, six hundred forty-three million, eight hundred sixty-five thousand, four hundred eighty-eight".