2601281680 has 60 divisors (see below), whose sum is σ = 6152884092. Its totient is φ = 1022767360.

The previous prime is 2601281677. The next prime is 2601281699. The reversal of 2601281680 is 861821062.

It can be written as a sum of positive squares in 2 ways, for example, as 856381696 + 1744899984 = 29264^2 + 41772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273810 + ... + 283150.

Almost surely, 2^2601281680 is an apocalyptic number.

2601281680 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 2601281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076442046).

2601281680 is an abundant number, since it is smaller than the sum of its proper divisors (3551602412).

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

2601281680 is an equidigital number, since it uses as much as digits as its factorization.

2601281680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 2601281680 is about 51002.7614938642. The cubic root of 2601281680 is about 1375.2947784525.

The spelling of 2601281680 in words is "two billion, six hundred one million, two hundred eighty-one thousand, six hundred eighty".