2867816448 has 384 divisors, whose sum is σ = 10063872000. Its totient is φ = 789626880.

The previous prime is 2867816401. The next prime is 2867816507. The reversal of 2867816448 is 8446187682.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2867816394 and 2867816403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11999113 + ... + 11999351.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 2^2867816448 is an apocalyptic number.

2867816448 is a gapful number since it is divisible by the number (28) 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 2867816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031936000).

2867816448 is an abundant number, since it is smaller than the sum of its proper divisors (7196055552).

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

2867816448 is a wasteful number, since it uses less digits than its factorization.

2867816448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 282 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 2867816448 is about 53551.9976097998. The cubic root of 2867816448 is about 1420.7482084846.

The spelling of 2867816448 in words is "two billion, eight hundred sixty-seven million, eight hundred sixteen thousand, four hundred forty-eight".