2871101376 has 336 divisors, whose sum is σ = 10034064768. Its totient is φ = 802483200.

The previous prime is 2871101369. The next prime is 2871101393. The reversal of 2871101376 is 6731011782.

2871101376 is a `hidden beast` number, since 287 + 1 + 1 + 0 + 1 + 376 = 666.

It is a super-2 number, since 2×2871101376² = 16486446222538186752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2871101376.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2223291 + ... + 2224581.

It is an arithmetic number, because the mean of its divisors is an integer number (29863288).

Almost surely, 2^2871101376 is an apocalyptic number.

2871101376 is a gapful number since it is divisible by the number (26) 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 2871101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017032384).

2871101376 is an abundant number, since it is smaller than the sum of its proper divisors (7162963392).

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

2871101376 is a wasteful number, since it uses less digits than its factorization.

2871101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2871101376 is about 53582.6592845111. The cubic root of 2871101376 is about 1421.2904648012.

The spelling of 2871101376 in words is "two billion, eight hundred seventy-one million, one hundred one thousand, three hundred seventy-six".