2628683064 has 256 divisors, whose sum is σ = 8771328000. Its totient is φ = 713180160.

The previous prime is 2628683063. The next prime is 2628683129. The reversal of 2628683064 is 4603868262.

2628683064 is a `hidden beast` number, since 262 + 86 + 8 + 306 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628683063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9354604 + ... + 9354884.

It is an arithmetic number, because the mean of its divisors is an integer number (34263000).

Almost surely, 2^2628683064 is an apocalyptic number.

2628683064 is a gapful number since it is divisible by the number (24) 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 2628683064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385664000).

2628683064 is an abundant number, since it is smaller than the sum of its proper divisors (6142644936).

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

2628683064 is a wasteful number, since it uses less digits than its factorization.

2628683064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2628683064 is about 51270.6842552350. The cubic root of 2628683064 is about 1380.1069482332.

The spelling of 2628683064 in words is "two billion, six hundred twenty-eight million, six hundred eighty-three thousand, sixty-four".