2867263304960 has 144 divisors (see below), whose sum is σ = 6965520307200. Its totient is φ = 1130634362880.

The previous prime is 2867263304953. The next prime is 2867263304977. The reversal of 2867263304960 is 694033627682.

It is a junction number, because it is equal to n+sod(n) for n = 2867263304896 and 2867263304905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224156165 + ... + 224168955.

It is an arithmetic number, because the mean of its divisors is an integer number (48371668800).

Almost surely, 2^{2867263304960} is an apocalyptic number.

2867263304960 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 2867263304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482760153600).

2867263304960 is an abundant number, since it is smaller than the sum of its proper divisors (4098257002240).

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

2867263304960 is a wasteful number, since it uses less digits than its factorization.

2867263304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15284 (or 15270 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 56.

The spelling of 2867263304960 in words is "two trillion, eight hundred sixty-seven billion, two hundred sixty-three million, three hundred four thousand, nine hundred sixty".