2682487808 has 176 divisors, whose sum is σ = 7202557824. Its totient is φ = 964362240.

The previous prime is 2682487763. The next prime is 2682487859. The reversal of 2682487808 is 8087842862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 2682487808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023716 + ... + 1026332.

It is an arithmetic number, because the mean of its divisors is an integer number (40923624).

Almost surely, 2^2682487808 is an apocalyptic number.

2682487808 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 2682487808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601278912).

2682487808 is an abundant number, since it is smaller than the sum of its proper divisors (4520070016).

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

2682487808 is a wasteful number, since it uses less digits than its factorization.

2682487808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 53.

The square root of 2682487808 is about 51792.7389505517. The cubic root of 2682487808 is about 1389.4595846168.

The spelling of 2682487808 in words is "two billion, six hundred eighty-two million, four hundred eighty-seven thousand, eight hundred eight".