2864856320 has 216 divisors, whose sum is σ = 7562632392. Its totient is φ = 1036124160.

The previous prime is 2864856307. The next prime is 2864856331. The reversal of 2864856320 is 236584682.

It can be written as a sum of positive squares in 4 ways, for example, as 691058944 + 2173797376 = 26288^2 + 46624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20911292 + ... + 20911428.

It is an arithmetic number, because the mean of its divisors is an integer number (35012187).

Almost surely, 2^2864856320 is an apocalyptic number.

2864856320 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 2864856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781316196).

2864856320 is an abundant number, since it is smaller than the sum of its proper divisors (4697776072).

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

2864856320 is a wasteful number, since it uses less digits than its factorization.

2864856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 2864856320 is about 53524.3525883312. The cubic root of 2864856320 is about 1420.2592134078.

The spelling of 2864856320 in words is "two billion, eight hundred sixty-four million, eight hundred fifty-six thousand, three hundred twenty".