2867271264 has 384 divisors, whose sum is σ = 10262246400. Its totient is φ = 766402560.

The previous prime is 2867271257. The next prime is 2867271299. The reversal of 2867271264 is 4621727682.

It is a happy number.

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, 2841192 + ... + 2842200.

It is an arithmetic number, because the mean of its divisors is an integer number (26724600).

Almost surely, 2^2867271264 is an apocalyptic number.

2867271264 is a gapful number since it is divisible by the number (24) 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 2867271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131123200).

2867271264 is an abundant number, since it is smaller than the sum of its proper divisors (7394975136).

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

2867271264 is a wasteful number, since it uses less digits than its factorization.

2867271264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 2867271264 is about 53546.9071375742. The cubic root of 2867271264 is about 1420.6581727038.

The spelling of 2867271264 in words is "two billion, eight hundred sixty-seven million, two hundred seventy-one thousand, two hundred sixty-four".