2861440000 has 220 divisors, whose sum is σ = 7597055664. Its totient is φ = 1073152000.

The previous prime is 2861439967. The next prime is 2861440007. The reversal of 2861440000 is 441682.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2861440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10879869 + ... + 10880131.

Almost surely, 2^2861440000 is an apocalyptic number.

2861440000 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 2861440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798527832).

2861440000 is an abundant number, since it is smaller than the sum of its proper divisors (4735615664).

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

2861440000 is an equidigital number, since it uses as much as digits as its factorization.

2861440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2861440000 is about 53492.4293708932. The cubic root of 2861440000 is about 1419.6944393116.

Adding to 2861440000 its reverse (441682), we get a palindrome (2861881682).

The spelling of 2861440000 in words is "two billion, eight hundred sixty-one million, four hundred forty thousand".