2646601280 has 56 divisors (see below), whose sum is σ = 6335021112. Its totient is φ = 1053130752.

The previous prime is 2646601261. The next prime is 2646601289. The reversal of 2646601280 is 821066462.

It can be written as a sum of positive squares in 4 ways, for example, as 769285696 + 1877315584 = 27736^2 + 43328^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2646601280.

It is not an unprimeable number, because it can be changed into a prime (2646601289) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40334 + ... + 83186.

It is an arithmetic number, because the mean of its divisors is an integer number (113125377).

Almost surely, 2^2646601280 is an apocalyptic number.

2646601280 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 2646601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167510556).

2646601280 is an abundant number, since it is smaller than the sum of its proper divisors (3688419832).

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

2646601280 is a wasteful number, since it uses less digits than its factorization.

2646601280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43063 (or 43053 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 2646601280 is about 51445.1288267412. The cubic root of 2646601280 is about 1383.2356477527.

The spelling of 2646601280 in words is "two billion, six hundred forty-six million, six hundred one thousand, two hundred eighty".