2876971680 has 288 divisors, whose sum is σ = 11081266560. Its totient is φ = 673290240.

The previous prime is 2876971673. The next prime is 2876971703. The reversal of 2876971680 is 861796782.

2876971680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 456229 + ... + 462491.

It is an arithmetic number, because the mean of its divisors is an integer number (38476620).

Almost surely, 2^2876971680 is an apocalyptic number.

2876971680 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 2876971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540633280).

2876971680 is an abundant number, since it is smaller than the sum of its proper divisors (8204294880).

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

2876971680 is a wasteful number, since it uses less digits than its factorization.

2876971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 2876971680 is about 53637.4093334121. The cubic root of 2876971680 is about 1422.2584704665.

The spelling of 2876971680 in words is "two billion, eight hundred seventy-six million, nine hundred seventy-one thousand, six hundred eighty".