2813919020676 has 135 divisors (see below), whose sum is σ = 7543252890943. Its totient is φ = 914693022720.

The previous prime is 2813919020669. The next prime is 2813919020711. The reversal of 2813919020676 is 6760209193182.

The square root of 2813919020676 is 1677474.

It is a perfect power (a square), and thus also a powerful number.

2813919020676 is a `hidden beast` number, since 2 + 81 + 391 + 90 + 20 + 6 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37616602500 + 2776302418176 = 193950^2 + 1666224^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1237974676 + ... + 1237976948.

Almost surely, 2^{2813919020676} is an apocalyptic number.

2813919020676 is the 1677474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813919020676

2813919020676 is an abundant number, since it is smaller than the sum of its proper divisors (4729333870267).

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

2813919020676 is an frugal number, since it uses more digits than its factorization.

2813919020676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2813919020676 in words is "two trillion, eight hundred thirteen billion, nine hundred nineteen million, twenty thousand, six hundred seventy-six".