2871686869920 has 1152 divisors, whose sum is σ = 11521482964992. Its totient is φ = 669159014400.

The previous prime is 2871686869861. The next prime is 2871686869949. The reversal of 2871686869920 is 299686861782.

2871686869920 is a `hidden beast` number, since 287 + 168 + 6 + 86 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2214098712 + ... + 2214100008.

It is an arithmetic number, because the mean of its divisors is an integer number (10001287296).

Almost surely, 2^{2871686869920} is an apocalyptic number.

2871686869920 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 2871686869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760741482496).

2871686869920 is an abundant number, since it is smaller than the sum of its proper divisors (8649796095072).

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

2871686869920 is a wasteful number, since it uses less digits than its factorization.

2871686869920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 2871686869920 in words is "two trillion, eight hundred seventy-one billion, six hundred eighty-six million, eight hundred sixty-nine thousand, nine hundred twenty".