2684148768 has 288 divisors, whose sum is σ = 9302791680. Its totient is φ = 719124480.

The previous prime is 2684148697. The next prime is 2684148769. The reversal of 2684148768 is 8678414862.

2684148768 is a `hidden beast` number, since 2 + 68 + 41 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684148769) 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, 9904473 + ... + 9904743.

It is an arithmetic number, because the mean of its divisors is an integer number (32301360).

Almost surely, 2^2684148768 is an apocalyptic number.

2684148768 is a gapful number since it is divisible by the number (28) 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 2684148768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651395840).

2684148768 is an abundant number, since it is smaller than the sum of its proper divisors (6618642912).

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

2684148768 is a wasteful number, since it uses less digits than its factorization.

2684148768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 300 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 2684148768 is about 51808.7711492948. The cubic root of 2684148768 is about 1389.7463036122.

The spelling of 2684148768 in words is "two billion, six hundred eighty-four million, one hundred forty-eight thousand, seven hundred sixty-eight".