2810881920 has 256 divisors, whose sum is σ = 11171105280. Its totient is φ = 584048640.

The previous prime is 2810881919. The next prime is 2810881937. The reversal of 2810881920 is 291880182.

It is a congruent number.

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, 138334 + ... + 157346.

It is an arithmetic number, because the mean of its divisors is an integer number (43637130).

Almost surely, 2^2810881920 is an apocalyptic number.

2810881920 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 2810881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585552640).

2810881920 is an abundant number, since it is smaller than the sum of its proper divisors (8360223360).

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

2810881920 is a wasteful number, since it uses less digits than its factorization.

2810881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19053 (or 19041 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 2810881920 is about 53017.7509896450. The cubic root of 2810881920 is about 1411.2832942233.

The spelling of 2810881920 in words is "two billion, eight hundred ten million, eight hundred eighty-one thousand, nine hundred twenty".