2813461344 has 96 divisors (see below), whose sum is σ = 8278835040. Its totient is φ = 929488896.

The previous prime is 2813461307. The next prime is 2813461349. The reversal of 2813461344 is 4431643182.

2813461344 is a `hidden beast` number, since 2 + 8 + 1 + 34 + 613 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2813461299 and 2813461308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813461349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 83224 + ... + 112040.

It is an arithmetic number, because the mean of its divisors is an integer number (86237865).

Almost surely, 2^2813461344 is an apocalyptic number.

2813461344 is a gapful number since it is divisible by the number (24) 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 2813461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139417520).

2813461344 is an abundant number, since it is smaller than the sum of its proper divisors (5465373696).

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

2813461344 is a wasteful number, since it uses less digits than its factorization.

2813461344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28949 (or 28935 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2813461344 is about 53042.0714527629. The cubic root of 2813461344 is about 1411.7148533279.

The spelling of 2813461344 in words is "two billion, eight hundred thirteen million, four hundred sixty-one thousand, three hundred forty-four".