2876088672 has 288 divisors, whose sum is σ = 9000875520. Its totient is φ = 868008960.

The previous prime is 2876088647. The next prime is 2876088689. The reversal of 2876088672 is 2768806782.

2876088672 is a `hidden beast` number, since 28 + 7 + 608 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13630647 + ... + 13630857.

It is an arithmetic number, because the mean of its divisors is an integer number (31253040).

Almost surely, 2^2876088672 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 2876088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500437760).

2876088672 is an abundant number, since it is smaller than the sum of its proper divisors (6124786848).

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

2876088672 is a wasteful number, since it uses less digits than its factorization.

2876088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 2876088672 is about 53629.1774316929. The cubic root of 2876088672 is about 1422.1129477602.

The spelling of 2876088672 in words is "two billion, eight hundred seventy-six million, eighty-eight thousand, six hundred seventy-two".