2682808128 has 840 divisors, whose sum is σ = 10987527936. Its totient is φ = 629544960.

The previous prime is 2682808127. The next prime is 2682808129. The reversal of 2682808128 is 8218082862.

2682808128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2682808127) and next prime (2682808129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2682808127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57081001 + ... + 57081047.

Almost surely, 2^2682808128 is an apocalyptic number.

2682808128 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 2682808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493763968).

2682808128 is an abundant number, since it is smaller than the sum of its proper divisors (8304719808).

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

2682808128 is a wasteful number, since it uses less digits than its factorization.

2682808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 2682808128 is about 51795.8311836001. The cubic root of 2682808128 is about 1389.5148882518.

The spelling of 2682808128 in words is "two billion, six hundred eighty-two million, eight hundred eight thousand, one hundred twenty-eight".