2867200416 has 240 divisors, whose sum is σ = 9220780800. Its totient is φ = 870082560.

The previous prime is 2867200393. The next prime is 2867200417. The reversal of 2867200416 is 6140027682.

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

It is not an unprimeable number, because it can be changed into a prime (2867200417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1364935 + ... + 1367033.

It is an arithmetic number, because the mean of its divisors is an integer number (38419920).

Almost surely, 2^2867200416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2867200416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610390400).

2867200416 is an abundant number, since it is smaller than the sum of its proper divisors (6353580384).

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

2867200416 is a wasteful number, since it uses less digits than its factorization.

2867200416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2867200416 is about 53546.2455826737. The cubic root of 2867200416 is about 1420.6464714950.

The spelling of 2867200416 in words is "two billion, eight hundred sixty-seven million, two hundred thousand, four hundred sixteen".