2813729280 has 160 divisors (see below), whose sum is σ = 9085025664. Its totient is φ = 742834176.

The previous prime is 2813729273. The next prime is 2813729287. The reversal of 2813729280 is 829273182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2813729273) and next prime (2813729287).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2813729280² = 15834144922258636800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2813729287) 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, 789262 + ... + 792818.

Almost surely, 2^2813729280 is an apocalyptic number.

2813729280 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 2813729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542512832).

2813729280 is an abundant number, since it is smaller than the sum of its proper divisors (6271296384).

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

2813729280 is a wasteful number, since it uses less digits than its factorization.

2813729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2813729280 is about 53044.5970858484. The cubic root of 2813729280 is about 1411.7596661258.

The spelling of 2813729280 in words is "two billion, eight hundred thirteen million, seven hundred twenty-nine thousand, two hundred eighty".