2813760000 has 300 divisors, whose sum is σ = 10158015582. Its totient is φ = 749568000.

The previous prime is 2813759957. The next prime is 2813760017. The reversal of 2813760000 is 673182.

2813760000 is a `hidden beast` number, since 28 + 1 + 37 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 374190336 + 2439569664 = 19344^2 + 49392^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879512 + ... + 2880488.

Almost surely, 2^2813760000 is an apocalyptic number.

2813760000 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 2813760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079007791).

2813760000 is an abundant number, since it is smaller than the sum of its proper divisors (7344255582).

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

2813760000 is an frugal number, since it uses more digits than its factorization.

2813760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2813760000 is about 53044.8866527208. The cubic root of 2813760000 is about 1411.7648039216.

The spelling of 2813760000 in words is "two billion, eight hundred thirteen million, seven hundred sixty thousand".