2820755840 has 128 divisors (see below), whose sum is σ = 7728091200. Its totient is φ = 964435968.

The previous prime is 2820755809. The next prime is 2820755849. The reversal of 2820755840 is 485570282.

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

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820755849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2279702 + ... + 2280938.

Almost surely, 2^2820755840 is an apocalyptic number.

2820755840 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 2820755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864045600).

2820755840 is an abundant number, since it is smaller than the sum of its proper divisors (4907335360).

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

2820755840 is a wasteful number, since it uses less digits than its factorization.

2820755840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 2820755840 is about 53110.7883579222. The cubic root of 2820755840 is about 1412.9338572747.

The spelling of 2820755840 in words is "two billion, eight hundred twenty million, seven hundred fifty-five thousand, eight hundred forty".