2642386848 has 96 divisors (see below), whose sum is σ = 7328563200. Its totient is φ = 831326976.

The previous prime is 2642386843. The next prime is 2642386861. The reversal of 2642386848 is 8486832462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2642386848.

It is not an unprimeable number, because it can be changed into a prime (2642386843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513633 + ... + 518751.

It is an arithmetic number, because the mean of its divisors is an integer number (76339200).

Almost surely, 2^2642386848 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 2642386848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664281600).

2642386848 is an abundant number, since it is smaller than the sum of its proper divisors (4686176352).

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

2642386848 is a wasteful number, since it uses less digits than its factorization.

2642386848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5434 (or 5426 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The square root of 2642386848 is about 51404.1520501992. The cubic root of 2642386848 is about 1382.5010389702.

The spelling of 2642386848 in words is "two billion, six hundred forty-two million, three hundred eighty-six thousand, eight hundred forty-eight".