2813408192 has 112 divisors (see below), whose sum is σ = 6613306560. Its totient is φ = 1162444800.

The previous prime is 2813408179. The next prime is 2813408207. The reversal of 2813408192 is 2918043182.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633892 + ... + 1635612.

It is an arithmetic number, because the mean of its divisors is an integer number (59047380).

Almost surely, 2^2813408192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306653280).

2813408192 is an abundant number, since it is smaller than the sum of its proper divisors (3799898368).

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

2813408192 is a wasteful number, since it uses less digits than its factorization.

2813408192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 2813408192 is about 53041.5704141572. The cubic root of 2813408192 is about 1411.7059632181.

It can be divided in two parts, 28 and 13408192, that multiplied together give a square (375429376 = 19376²).

The spelling of 2813408192 in words is "two billion, eight hundred thirteen million, four hundred eight thousand, one hundred ninety-two".