2819718720 has 1008 divisors, whose sum is σ = 12806080560. Its totient is φ = 563576832.

The previous prime is 2819718703. The next prime is 2819718757. The reversal of 2819718720 is 278179182.

It can be written as a sum of positive squares in 8 ways, for example, as 54641664 + 2765077056 = 7392^2 + 52584^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53202214 + ... + 53202266.

It is an arithmetic number, because the mean of its divisors is an integer number (12704445).

Almost surely, 2^2819718720 is an apocalyptic number.

2819718720 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 2819718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403040280).

2819718720 is an abundant number, since it is smaller than the sum of its proper divisors (9986361840).

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

2819718720 is a wasteful number, since it uses less digits than its factorization.

2819718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 2819718720 is about 53101.0237189454. The cubic root of 2819718720 is about 1412.7606694631.

The spelling of 2819718720 in words is "two billion, eight hundred nineteen million, seven hundred eighteen thousand, seven hundred twenty".