2881350000 has 360 divisors, whose sum is σ = 10641037680. Its totient is φ = 725760000.

The previous prime is 2881349959. The next prime is 2881350007. The reversal of 2881350000 is 531882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2881350007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8549832 + ... + 8550168.

It is an arithmetic number, because the mean of its divisors is an integer number (29558438).

Almost surely, 2^2881350000 is an apocalyptic number.

2881350000 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 2881350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320518840).

2881350000 is an abundant number, since it is smaller than the sum of its proper divisors (7759687680).

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

2881350000 is a wasteful number, since it uses less digits than its factorization.

2881350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2881350000 is about 53678.2078687432. The cubic root of 2881350000 is about 1422.9795929013.

Adding to 2881350000 its reverse (531882), we get a palindrome (2881881882).

The spelling of 2881350000 in words is "two billion, eight hundred eighty-one million, three hundred fifty thousand".