2861161056 has 480 divisors, whose sum is σ = 9861112800. Its totient is φ = 806215680.

The previous prime is 2861161033. The next prime is 2861161057. The reversal of 2861161056 is 6501611682.

2861161056 is a `hidden beast` number, since 28 + 6 + 11 + 610 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2861161056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2861161057) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26249130 + ... + 26249238.

It is an arithmetic number, because the mean of its divisors is an integer number (20543985).

Almost surely, 2^2861161056 is an apocalyptic number.

2861161056 is a gapful number since it is divisible by the number (26) 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 2861161056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930556400).

2861161056 is an abundant number, since it is smaller than the sum of its proper divisors (6999951744).

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

2861161056 is a wasteful number, since it uses less digits than its factorization.

2861161056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2861161056 is about 53489.8219851216. The cubic root of 2861161056 is about 1419.6483054169.

The spelling of 2861161056 in words is "two billion, eight hundred sixty-one million, one hundred sixty-one thousand, fifty-six".