2861261568 has 432 divisors, whose sum is σ = 9900727200. Its totient is φ = 784465920.

The previous prime is 2861261567. The next prime is 2861261569. The reversal of 2861261568 is 8651621682.

2861261568 is a `hidden beast` number, since 2 + 8 + 61 + 26 + 1 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (2861261567) and next prime (2861261569).

It is not an unprimeable number, because it can be changed into a prime (2861261561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12494478 + ... + 12494706.

It is an arithmetic number, because the mean of its divisors is an integer number (22918350).

Almost surely, 2^2861261568 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 2861261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950363600).

2861261568 is an abundant number, since it is smaller than the sum of its proper divisors (7039465632).

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

2861261568 is a wasteful number, since it uses less digits than its factorization.

2861261568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 2861261568 is about 53490.7615200980. The cubic root of 2861261568 is about 1419.6649292067.

The spelling of 2861261568 in words is "two billion, eight hundred sixty-one million, two hundred sixty-one thousand, five hundred sixty-eight".