2840368000 has 128 divisors (see below), whose sum is σ = 7128894240. Its totient is φ = 1125376000.

The previous prime is 2840367977. The next prime is 2840368043. The reversal of 2840368000 is 8630482.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1807215 + ... + 1808785.

Almost surely, 2^2840368000 is an apocalyptic number.

2840368000 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 2840368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564447120).

2840368000 is an abundant number, since it is smaller than the sum of its proper divisors (4288526240).

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

2840368000 is a wasteful number, since it uses less digits than its factorization.

2840368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2840368000 is about 53295.1029645314. The cubic root of 2840368000 is about 1416.2009141748.

Adding to 2840368000 its reverse (8630482), we get a palindrome (2848998482).

The spelling of 2840368000 in words is "two billion, eight hundred forty million, three hundred sixty-eight thousand".