2810734080 has 640 divisors, whose sum is σ = 11549260800. Its totient is φ = 578027520.

The previous prime is 2810734039. The next prime is 2810734123. The reversal of 2810734080 is 804370182.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28976592 + ... + 28976688.

It is an arithmetic number, because the mean of its divisors is an integer number (18045720).

Almost surely, 2^2810734080 is an apocalyptic number.

2810734080 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 2810734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774630400).

2810734080 is an abundant number, since it is smaller than the sum of its proper divisors (8738526720).

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

2810734080 is an equidigital number, since it uses as much as digits as its factorization.

2810734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2810734080 is about 53016.3567212988. The cubic root of 2810734080 is about 1411.2585513625.

The spelling of 2810734080 in words is "two billion, eight hundred ten million, seven hundred thirty-four thousand, eighty".