2682468684 has 96 divisors (see below), whose sum is σ = 7964812800. Its totient is φ = 764804160.

The previous prime is 2682468629. The next prime is 2682468721. The reversal of 2682468684 is 4868642862.

2682468684 is a `hidden beast` number, since 26 + 82 + 468 + 6 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2682468684.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381319 + ... + 388289.

It is an arithmetic number, because the mean of its divisors is an integer number (82966800).

Almost surely, 2^2682468684 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 2682468684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982406400).

2682468684 is an abundant number, since it is smaller than the sum of its proper divisors (5282344116).

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

2682468684 is a wasteful number, since it uses less digits than its factorization.

2682468684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500 (or 7492 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 2682468684 is about 51792.5543297490. The cubic root of 2682468684 is about 1389.4562826958.

The spelling of 2682468684 in words is "two billion, six hundred eighty-two million, four hundred sixty-eight thousand, six hundred eighty-four".