2813946030720 has 768 divisors, whose sum is σ = 11041725542400. Its totient is φ = 676733460480.

The previous prime is 2813946030653. The next prime is 2813946030743. The reversal of 2813946030720 is 270306493182.

2813946030720 is a `hidden beast` number, since 2 + 8 + 1 + 39 + 4 + 603 + 0 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265536462 + ... + 265547058.

It is an arithmetic number, because the mean of its divisors is an integer number (14377246800).

Almost surely, 2^{2813946030720} is an apocalyptic number.

2813946030720 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 2813946030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520862771200).

2813946030720 is an abundant number, since it is smaller than the sum of its proper divisors (8227779511680).

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

2813946030720 is a wasteful number, since it uses less digits than its factorization.

2813946030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10774 (or 10745 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2813946030720 in words is "two trillion, eight hundred thirteen billion, nine hundred forty-six million, thirty thousand, seven hundred twenty".