2881083040 has 192 divisors, whose sum is σ = 7834724352. Its totient is φ = 990950400.

The previous prime is 2881083001. The next prime is 2881083061. The reversal of 2881083040 is 403801882.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2881082987 and 2881083005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4169095 + ... + 4169785.

It is an arithmetic number, because the mean of its divisors is an integer number (40805856).

Almost surely, 2^2881083040 is an apocalyptic number.

2881083040 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 2881083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917362176).

2881083040 is an abundant number, since it is smaller than the sum of its proper divisors (4953641312).

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

2881083040 is a wasteful number, since it uses less digits than its factorization.

2881083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2881083040 is about 53675.7211409404. The cubic root of 2881083040 is about 1422.9356447098.

The spelling of 2881083040 in words is "two billion, eight hundred eighty-one million, eighty-three thousand, forty".