2876135360 has 336 divisors, whose sum is σ = 8444959488. Its totient is φ = 928972800.

The previous prime is 2876135351. The next prime is 2876135401. The reversal of 2876135360 is 635316782.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29650832 + ... + 29650928.

It is an arithmetic number, because the mean of its divisors is an integer number (25133808).

Almost surely, 2^2876135360 is an apocalyptic number.

2876135360 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 2876135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222479744).

2876135360 is an abundant number, since it is smaller than the sum of its proper divisors (5568824128).

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

2876135360 is a wasteful number, since it uses less digits than its factorization.

2876135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 2876135360 is about 53629.6127153646. The cubic root of 2876135360 is about 1422.1206428463.

The spelling of 2876135360 in words is "two billion, eight hundred seventy-six million, one hundred thirty-five thousand, three hundred sixty".