2659868064 has 384 divisors, whose sum is σ = 9483264000. Its totient is φ = 708424704.

The previous prime is 2659868063. The next prime is 2659868089. The reversal of 2659868064 is 4608689562.

It is a happy number.

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 2659868064.

It is not an unprimeable number, because it can be changed into a prime (2659868063) 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, 9077902 + ... + 9078194.

It is an arithmetic number, because the mean of its divisors is an integer number (24696000).

Almost surely, 2^2659868064 is an apocalyptic number.

2659868064 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 2659868064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741632000).

2659868064 is an abundant number, since it is smaller than the sum of its proper divisors (6823395936).

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

2659868064 is a wasteful number, since it uses less digits than its factorization.

2659868064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2659868064 is about 51573.9087523915. The cubic root of 2659868064 is about 1385.5430738328.

The spelling of 2659868064 in words is "two billion, six hundred fifty-nine million, eight hundred sixty-eight thousand, sixty-four".