2864113560 has 768 divisors, whose sum is σ = 12502425600. Its totient is φ = 570240000.

The previous prime is 2864113559. The next prime is 2864113601. The reversal of 2864113560 is 653114682.

It is a happy number.

2864113560 is a `hidden beast` number, since 2 + 8 + 641 + 1 + 3 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28357510 + ... + 28357610.

It is an arithmetic number, because the mean of its divisors is an integer number (16279200).

Almost surely, 2^2864113560 is an apocalyptic number.

2864113560 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 2864113560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251212800).

2864113560 is an abundant number, since it is smaller than the sum of its proper divisors (9638312040).

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

2864113560 is a wasteful number, since it uses less digits than its factorization.

2864113560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2864113560 is about 53517.4136146358. The cubic root of 2864113560 is about 1420.1364611303.

The spelling of 2864113560 in words is "two billion, eight hundred sixty-four million, one hundred thirteen thousand, five hundred sixty".