2871310740480 has 2816 divisors, whose sum is σ = 13588568985600. Its totient is φ = 558020689920.

The previous prime is 2871310740451. The next prime is 2871310740509. The reversal of 2871310740480 is 840470131782.

2871310740480 is a `hidden beast` number, since 2 + 8 + 71 + 31 + 0 + 74 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2871310740451) and next prime (2871310740509).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9799695214 + ... + 9799695506.

Almost surely, 2^{2871310740480} is an apocalyptic number.

2871310740480 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 2871310740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794284492800).

2871310740480 is an abundant number, since it is smaller than the sum of its proper divisors (10717258245120).

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

2871310740480 is a wasteful number, since it uses less digits than its factorization.

2871310740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 2871310740480 in words is "two trillion, eight hundred seventy-one billion, three hundred ten million, seven hundred forty thousand, four hundred eighty".