2648669760 has 672 divisors, whose sum is σ = 10895990400. Its totient is φ = 599961600.

The previous prime is 2648669701. The next prime is 2648669773. The reversal of 2648669760 is 679668462.

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

It is a junction number, because it is equal to n+sod(n) for n = 2648669697 and 2648669706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85440945 + ... + 85440975.

Almost surely, 2^2648669760 is an apocalyptic number.

2648669760 is a gapful number since it is divisible by the number (20) 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 2648669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447995200).

2648669760 is an abundant number, since it is smaller than the sum of its proper divisors (8247320640).

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

2648669760 is a wasteful number, since it uses less digits than its factorization.

2648669760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 2648669760 is about 51465.2286500313. The cubic root of 2648669760 is about 1383.5959148644.

The spelling of 2648669760 in words is "two billion, six hundred forty-eight million, six hundred sixty-nine thousand, seven hundred sixty".