2871722738304 has 1152 divisors, whose sum is σ = 10508256158400. Its totient is φ = 747953160192.

The previous prime is 2871722738293. The next prime is 2871722738321. The reversal of 2871722738304 is 4038372271782.

2871722738304 is a `hidden beast` number, since 2 + 87 + 1 + 7 + 227 + 38 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3366614742 + ... + 3366615594.

Almost surely, 2^{2871722738304} is an apocalyptic number.

2871722738304 is a gapful number since it is divisible by the number (24) 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 2871722738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254128079200).

2871722738304 is an abundant number, since it is smaller than the sum of its proper divisors (7636533420096).

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

2871722738304 is a wasteful number, since it uses less digits than its factorization.

2871722738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 2871722738304 in words is "two trillion, eight hundred seventy-one billion, seven hundred twenty-two million, seven hundred thirty-eight thousand, three hundred four".