2611313280 has 288 divisors, whose sum is σ = 9437287860. Its totient is φ = 665296896.

The previous prime is 2611313267. The next prime is 2611313281. The reversal of 2611313280 is 823131162.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2523253824 + 88059456 = 50232^2 + 9384^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2611313281) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3046612 + ... + 3047468.

Almost surely, 2^2611313280 is an apocalyptic number.

2611313280 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 2611313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718643930).

2611313280 is an abundant number, since it is smaller than the sum of its proper divisors (6825974580).

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

2611313280 is a wasteful number, since it uses less digits than its factorization.

2611313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2611313280 is about 51101.0105575222. The cubic root of 2611313280 is about 1377.0604093787.

It can be divided in two parts, 26113 and 13280, that added together give a palindrome (39393).

The spelling of 2611313280 in words is "two billion, six hundred eleven million, three hundred thirteen thousand, two hundred eighty".