2864411160 has 256 divisors, whose sum is σ = 9719377920. Its totient is φ = 670464000.

The previous prime is 2864411153. The next prime is 2864411219. The reversal of 2864411160 is 611144682.

2864411160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2949475 + ... + 2950445.

It is an arithmetic number, because the mean of its divisors is an integer number (37966320).

Almost surely, 2^2864411160 is an apocalyptic number.

2864411160 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 2864411160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859688960).

2864411160 is an abundant number, since it is smaller than the sum of its proper divisors (6854966760).

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

2864411160 is a wasteful number, since it uses less digits than its factorization.

2864411160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2864411160 is about 53520.1939458369. The cubic root of 2864411160 is about 1420.1856465606.

The spelling of 2864411160 in words is "two billion, eight hundred sixty-four million, four hundred eleven thousand, one hundred sixty".