2461319568 has 160 divisors (see below), whose sum is σ = 7507019520. Its totient is φ = 769443840.

The previous prime is 2461319537. The next prime is 2461319573. The reversal of 2461319568 is 8659131642.

2461319568 is a `hidden beast` number, since 24 + 61 + 3 + 1 + 9 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3385221 + ... + 3385947.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^2461319568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461319568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753509760).

2461319568 is an abundant number, since it is smaller than the sum of its proper divisors (5045699952).

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

2461319568 is a wasteful number, since it uses less digits than its factorization.

2461319568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2461319568 is about 49611.6878164813. The cubic root of 2461319568 is about 1350.1727383903.

The spelling of 2461319568 in words is "two billion, four hundred sixty-one million, three hundred nineteen thousand, five hundred sixty-eight".